{"id":8958,"date":"2018-02-08T14:47:02","date_gmt":"2018-02-08T09:17:02","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=8958"},"modified":"2018-03-16T16:40:18","modified_gmt":"2018-03-16T11:10:18","slug":"motion-in-a-plane-class-11-notes-physics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/","title":{"rendered":"Motion in a Plane class 11 Notes Physics"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#CBSE_Guide_Motion_in_a_Plane_class_11_Notes\" >CBSE Guide Motion in a Plane class 11 Notes<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#Download_Revision_Notes_as_PDF\" >Download Revision Notes as PDF<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#Motion_in_a_Plane_class_11_Notes\" >Motion in a Plane class 11 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#CBSE_Class-11_Revision_Notes_and_Key_Points\" >CBSE Class-11 Revision Notes and Key Points<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>CBSE class 11 Physics Chapter 4 Motion in a Plane notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides\u00a0 Motion in a Plane class 11 Notes latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 11 Physics notes on Chapter 4 Motion in a Plane are also available for download in CBSE Guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Guide_Motion_in_a_Plane_class_11_Notes\"><\/span>CBSE Guide Motion in a Plane class 11 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE guide notes are the comprehensive notes which covers the latest syllabus of CBSE and NCERT. It includes all the topics given in NCERT class 11 Physics text book. Users can download CBSE guide quick revision notes from myCBSEguide mobile app and my CBSE guide website.<\/p>\n<p>11 Physics notes <strong>Chapter 4<\/strong> Motion in a Plane<\/p>\n<p>Download CBSE class 11th revision notes for Chapter 4 Motion in a Plane in PDF format for free. Download revision notes for Motion in a Plane class 11 Notes and score high in exams. These are the Motion in a Plane class 11 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the the best tips recommended by teachers during exam days.<\/p>\n<h1 style=\"text-align: center\"><span class=\"ez-toc-section\" id=\"Download_Revision_Notes_as_PDF\"><\/span><a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-revision-notes\/7\/\">Download Revision Notes as PDF<\/a><span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p style=\"text-align: center\"><strong>CBSE Class XI PHYSICS<br \/>\nRevision Notes<br \/>\nCHAPTER 4<br \/>\nPHYSICS CLASS 11 NOTES<\/strong><\/p>\n<p><strong>MOTION IN A PLANE <\/strong><\/p>\n<ol>\n<li><strong>Scalars and vectors <\/strong><\/li>\n<li><strong>Multiplication of vectors by real numbers <\/strong><\/li>\n<li><strong>Addition and subtraction of vectors<\/strong><\/li>\n<li><strong>Resolution of vectors<\/strong><\/li>\n<li><strong>Motion in a plane with constant acceleration <\/strong><\/li>\n<li><strong>Projectile motion and Uniform circular motion <\/strong><\/li>\n<\/ol>\n<p><strong>SUMMARY<\/strong><\/p>\n<p>1. Scalar quantities have only magnitude. Examples are distance, speed, mass and temperature.<\/p>\n<p>2. Vector quantities have both magnitude\u00a0and direction. Examples are displacement, velocity and acceleration. They obey special rules of vector algebra.<\/p>\n<p>3. A vector &#8216;A&#8217; multiplied by a real number &#8216;<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span>&#8216; is also a vector, whose magnitude is &#8216;<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span>&#8216; times the magnitude of the vector &#8216;A&#8217; and whose direction is the same or opposite depending upon whether &#8216;<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span>&#8216; is positive or negative.<\/p>\n<p>4. Two vectors A and B can\u00a0be added graphically by using head-to-tail method or parallelogram method.<\/p>\n<p>5. Vector addition obeys\u00a0commutative law\u00a0 i.e, \u00a0A + B = B + A<\/p>\n<p>It also obeys the associative law i.e, \u00a0(A + B) + C = A + (B + C)<\/p>\n<p>6. A null or zero vector is a vector with zero magnitude. Since the magnitude is zero, we don&#8217;t have to specify its direction.<\/p>\n<p>It has the properties:<\/p>\n<p>A+0 =A<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span>.0 =0<\/p>\n<p>0.A =0<\/p>\n<p>7. The subtraction of vector B from A is defined as the sum of &#8216;A&#8217; and &#8216;negative B&#8217; . i.e \u00a0A-B=A + (-B)<\/p>\n<p>8. A vector A can be resolved into component along two given vectors &#8216;a&#8217; and &#8216;b&#8217; lying in the same plane i.e,\u00a0A=<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span>a+<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\mu\" \/><\/span><\/span>b where <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\lambda\" \/><\/span><\/span> and <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\mu\" \/><\/span><\/span> are real numbers.<\/p>\n<p>9. A unit vector associated with a vector &#8216;A&#8217;\u00a0has magnitude &#8216;1&#8217;\u00a0and is along the vector A: <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat n = \\frac{A}{{|A|}}\" \/><\/span><\/span><\/p>\n<p>The unit vectors <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat i\" \/><\/span><\/span>,<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat j\" \/><\/span><\/span>,<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat k\" \/><\/span><\/span> are vectors of unit magnitude and points in the direction of the x-, y-, and z-axes \u00a0respectively in a right-handed coordinate system.<\/p>\n<p>10.A vector <strong>A<\/strong> can be expressed as <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\rm{A = }}{{\\rm{A}}_x}\\widehat i{\\rm{ }} = {\\rm{ }}{{\\rm{A}}_y}\\widehat j\" \/><\/span><\/span><\/p>\n<p>Where <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{{\\rm{A}}_x}\\;{{\\rm{A}}_y}\\;\" \/><\/span><\/span> are its components along x-, and y -axes. If vector <strong>A<\/strong> makes an angle <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\theta\" \/><\/span><\/span> with the x-axis, then <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{A_x}\" \/><\/span><\/span>=A cos <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\theta\" \/><\/span><\/span>, <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{A_y}\" \/><\/span><\/span>=A sin <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\theta\" \/><\/span><\/span> and <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?|A|=\\;\\sqrt {A_x^2+\\;A_y^2}\" \/><\/span><\/span>\u00a0and direction is given by \u00a0<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\tan = \\;\\frac{{{A_y}}}{{{A_x}}}\" \/><\/span><\/span><\/p>\n<p>11. Vectors can be conveniently added using analytical method. If sum of two vectors A and B, that lie in x-y plane, is R, then: R=A+B<\/p>\n<p>12. The position vector of an object in x-y plane is given by r= x<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat i\" \/><\/span><\/span>+y<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\widehat j\" \/><\/span><\/span> and the displacement from position r to position r <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?i'\" \/><\/span><\/span>is given by <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\triangle r=r'-r\" \/><\/span><\/span> <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?=(x'-x)\\hat{i}+(y'-y)\\hat{j}\" \/><\/span><\/span> <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?=\\triangle x\\hat{i}+\\triangle y\\hat{j}\" \/><\/span><\/span><\/p>\n<p>13. If an object undergoes a displacement <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta r\" \/><\/span><\/span> in time <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta t\" \/><\/span><\/span>, its average velocity is given by <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?v = \\frac{{\\Delta r}}{{\\Delta t}}\" \/><\/span><\/span>. The velocity of an object at time t is the limiting value of the average velocity<\/p>\n<p>As <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta t\" \/><\/span><\/span> tends to zero: <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?v = \\mathop {\\lim }\\limits_{\\Delta t \\to o} \\frac{{\\Delta r}}{{\\Delta t}} = \\frac{{dr}}{{dt}}\" \/><\/span><\/span><\/p>\n<p>It can be written in unit vector notation as: <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?v = {\\nu _x}\\widehat i + \\nu y\\widehat j + {\\nu _z}\\widehat k\" \/><\/span><\/span><\/p>\n<p>Where <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\nu _x} = \\frac{{dx}}{{dt}},{\\nu _Z} = \\frac{{dz}}{{dt}}\" \/><\/span><\/span><\/p>\n<p>When position of an object is plotted on a coordinate system, v is always tangent to the curve representing the path of the object.<\/p>\n<p>14. If the velocity of an object changes from v to v\u2032 in time <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\Delta t\" \/><\/span><\/span>, then its average acceleration is given by: <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\overline a = \\frac{{v - {v^1}}}{{\\Delta t}} = \\frac{{\\Delta v}}{{\\Delta t}}\" \/><\/span><\/span><\/p>\n<p>The acceleration a at any time t is the limiting value <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\overline a \\;\\;as\\;\\Delta t \\to 0\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?a = \\mathop {\\lim }\\limits_{x \\to \\infty } \\frac{{\\Delta v}}{{\\Delta t}} = \\frac{{dv}}{{dt}}\" \/><\/span><\/span> In component form, we have<\/p>\n<p>15. If an object is moving in a plane with constant acceleration <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?a\\;|a|\\sqrt {a_x^2\\;\\;a_y^2} \\;\\;\\;\" \/><\/span><\/span> and its position vector at time <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\rm{t}}\\; = {\\rm{ }}0{\\rm{ is}}\\;\\;\\;{r_o}\" \/><\/span><\/span> then at any other time t, it will be at a point given by <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?r-\\;\\;{r_o}=\\;\\;\\;{v_o}t+\\;\\;\\frac{1}{2}a{t^2}\" \/><\/span><\/span> and its velocity is given by <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?v = {v_o} + a\\;t\" \/><\/span><\/span><\/p>\n<p>When <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{v_o}\" \/><\/span><\/span> is the velocity at time t=0<\/p>\n<p>In component form<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?x-\\;\\;\\;{x_o=}\\;\\;\\;{v_{ox}}t\\;+\\;\\;\\frac{1}{2}{a_x}{t^2}\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?y-\\;\\;\\;{y_o}=\\;\\;\\;{v_{ox}}t+\\;\\;\\frac{1}{2}{a_y}{t^2}\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\nu _x} = {\\nu _{ax}} + {a_x}t\" \/><\/span><\/span><\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\nu _y} = {\\nu _{ay}} + {a_y}t\" \/><\/span><\/span><\/p>\n<p><strong>Motion <\/strong>in a plane can be treated as superposition of two separate simultaneous one-dimensional motions along two perpendicular directions<\/p>\n<p>16. An object that is in flight after being projected is called a projectile. If an object is projected with initial velocity<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{v_o}\" \/><\/span><\/span> making an angle <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{\\theta _o}\" \/><\/span><\/span> with x-axis and if we assume its initial position to coincide with the origin of the coordinate system, then the position and velocity of the projectile at time t are given by:<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\begin{array}{l} {\\rm{x }} = {\\rm{ }}({{\\rm{v}}_o}\\;{\\rm{cos }}{\\theta _o})\\;{\\rm{t}}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\ {\\rm{y }} = {\\rm{ }}({{\\rm{v}}_o}{\\rm{sin }}{\\theta _o}){\\rm{ t }} - {\\rm{ }}\\left( {{\\rm{1}}\/{\\rm{2}}} \\right){\\rm{ g }}{{\\rm{t}}^2}\\\\ {\\rm{vx}}\\; = {\\rm{ }}{{\\rm{v}}_{ox}}\\; = {\\rm{ }}{{\\rm{v}}_o}\\;{\\rm{cos }}{\\theta _o}\\\\ {{\\rm{v}}_y}\\; = {\\rm{ }}{{\\rm{v}}_o}{\\rm{sin }}{\\theta _o}\\; - {\\rm{ g t}} \\end{array}\" \/><\/span><\/span><\/p>\n<p>The path of a projectile is parabolic and is given by:<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?y\\;\\;\\;{\\tan _o}\\;\\;x\\; - \\;\\frac{{g{x^2}}}{{2\\;{v_o}{{\\cos }_o}^2}}\" \/><\/span><\/span><\/p>\n<p>The maximum height that a projectile attains is<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{h_m} = \\frac{{({\\nu _o}\\sin {q_o}}}{{2g}}\" \/><\/span><\/span><\/p>\n<p>The time taken to reach this height is:<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{t_m} = \\frac{{{\\nu _o}\\sin {\\theta _o}}}{g}\" \/><\/span><\/span><\/p>\n<p>The horizontal distance travelled by a projectile from its initial position to the position it passes y = 0 during its fall is called the range, R of the projectile. It is:<span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?R = \\frac{{\\nu _0^2}}{g}\\sin 2.\" \/><\/span><\/span><\/p>\n<p>17. When an object follows a circular path at constant speed, the motion of the object is called uniform circular motion. The magnitude of its acceleration is <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{{\\rm{a}}_2}{\\rm{ }} = {\\rm{ }}{{\\rm{v}}^2}{\\rm{ }}\/{\\rm{R}}\" \/><\/span><\/span>. The direction of <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{a_c}\" \/><\/span><\/span> is always onwards the centre of the circle.<\/p>\n<p>The angular speed <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\omega\" \/><\/span><\/span>, is the rate of change of angular distance. It is related to velocity v by v = <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\omega\" \/><\/span><\/span>R. The acceleration is <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?{{\\rm{a}}_c}\\; = {\\rm{ }}{\\omega ^2}{\\rm{R}}\" \/><\/span><\/span>. If T is the time period of revolution of the object in circular motion and \u03bd is its frequency, we have<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?\\;\\omega {\\rm{ }} = {\\rm{ 2}}\\pi {\\rm{ }}\\nu ,{\\rm{ v }} = {\\rm{ 2}}\\pi \\nu {\\rm{R}},\\;{\\rm{ac }} = {\\rm{ 4}}{\\pi ^2}{\\nu ^2}{\\rm{R}}\" \/><\/span><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Motion_in_a_Plane_class_11_Notes\"><\/span>Motion in a Plane class 11 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>CBSE Revision notes (PDF Download) Free<\/li>\n<li>CBSE Revision notes for Class 11 Physics PDF<\/li>\n<li>CBSE Revision notes Class 11 Physics \u2013 CBSE<\/li>\n<li>CBSE Revisions notes and Key Points Class 11 Physics<\/li>\n<li>Summary of the NCERT books all chapters in Physics class 11<\/li>\n<li>Short notes for CBSE class 11th Physics<\/li>\n<li>Key notes and chapter summary of Physics class 11<\/li>\n<li>Quick revision notes for CBSE exams<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Class-11_Revision_Notes_and_Key_Points\"><\/span><strong>CBSE Class-11 Revision Notes and Key Points<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Motion in a Plane \u00a0class 11 Notes. CBSE quick revision note for class-11 Physics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Physics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-chemistry\/1356\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Chemistry<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-biology\/1388\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Biology<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-accountancy\/1411\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Accountancy<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-economics\/1423\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Economics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-business-studies\/1740\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Business Studies<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-computer-science\/1852\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Computer Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-informatics-practices\/1874\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Informatics Practices<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-geography\/1864\/cbse-revision-notes\/7\/\">Revision Notes for class-11 Geography<\/a><\/li>\n<\/ul>\n<p>To download Motion in a Plane class 11 Notes, sample paper for class 11 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<ul>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/physical-world-class-11-notes-physics\/\">Physical World class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/units-measurement-class-11-notes-physic\/\">Units and Measurement class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/8949-2\/\">Motion in a Straight Line class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\">Motion in a Plane class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/law-motion-class-11-notes-physics\/\">Law of Motion class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/work-energy-and-power-class-11-notes-physics\/\">Work, Energy and Power class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/systems-particles-rotational-motion-class-11-notes-physics\/\">Systems of Particles and Rotational Motion class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/gravitation-class-11-notes-physics\/\">Gravitation class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/mechanical-properties-of-solids-class-11-notes-physics\/\">Mechanical Properties of Solids class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/mechanical-properties-of-fluids-class-11-notes-physics\/\">Mechanical Properties of Fluids class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/thermal-properties-matter-class-11-notes-physics\/\">Thermal Properties of Matter class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/thermodynamics-class-11-notes-physics\/\">Thermodynamics class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/kinetic-theory-class-11-notes-physics\/\">Kinetic Theory class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/oscillations-class-11-notes-physics\/\">Oscillations class 11 Notes Physics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/waves-class-11-notes-physics\/\">Waves class 11 Notes Physics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>CBSE class 11 Physics Chapter 4 Motion in a Plane notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides\u00a0 Motion in a Plane class 11 Notes latest chapter wise notes for quick preparation of CBSE exams and school based annual examinations. Class 11 Physics &#8230; <a title=\"Motion in a Plane class 11 Notes Physics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\" aria-label=\"More on Motion in a Plane class 11 Notes Physics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8931,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,456],"tags":[457,150,476,458,426,240],"class_list":["post-8958","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-11","category-revision-notes","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-motion-in-a-plane","tag-physics-notes","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Motion in a Plane class 11 Notes Physics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Motion in a Plane class 11 Notes Physics | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\" \/>\n<meta property=\"og:site_name\" content=\"myCBSEguide\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mycbseguide\/\" \/>\n<meta property=\"article:published_time\" content=\"2018-02-08T09:17:02+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2018-03-16T11:10:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"600\" \/>\n\t<meta property=\"og:image:height\" content=\"300\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"myCBSEguide\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:site\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"myCBSEguide\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\"},\"author\":{\"name\":\"myCBSEguide\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519\"},\"headline\":\"Motion in a Plane class 11 Notes Physics\",\"datePublished\":\"2018-02-08T09:17:02+00:00\",\"dateModified\":\"2018-03-16T11:10:18+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\"},\"wordCount\":1318,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg\",\"keywords\":[\"CBSE Notes\",\"CBSE Notes and Key Points\",\"Motion in a Plane\",\"Physics Notes\",\"Quick Revision\",\"Quick Revision Notes\"],\"articleSection\":[\"Class 11\",\"Revision Notes\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\",\"name\":\"Motion in a Plane class 11 Notes Physics | myCBSEguide\",\"isPartOf\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg\",\"datePublished\":\"2018-02-08T09:17:02+00:00\",\"dateModified\":\"2018-03-16T11:10:18+00:00\",\"description\":\"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.\",\"breadcrumb\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg\",\"width\":600,\"height\":300,\"caption\":\"Notes for Physical World\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mycbseguide.com\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"CBSE\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Class 11\",\"item\":\"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Motion in a Plane class 11 Notes Physics\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#website\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"name\":\"myCBSEguide\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#organization\",\"name\":\"myCBSEguide\",\"url\":\"https:\/\/mycbseguide.com\/blog\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"contentUrl\":\"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png\",\"width\":180,\"height\":180,\"caption\":\"myCBSEguide\"},\"image\":{\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/mycbseguide\/\",\"https:\/\/x.com\/mycbseguide\",\"https:\/\/www.linkedin.com\/company\/mycbseguide\/\",\"http:\/\/in.pinterest.com\/mycbseguide\/\",\"https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519\",\"name\":\"myCBSEguide\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Motion in a Plane class 11 Notes Physics | myCBSEguide","description":"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/","og_locale":"en_US","og_type":"article","og_title":"Motion in a Plane class 11 Notes Physics | myCBSEguide","og_description":"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.","og_url":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/","og_site_name":"myCBSEguide","article_publisher":"https:\/\/www.facebook.com\/mycbseguide\/","article_published_time":"2018-02-08T09:17:02+00:00","article_modified_time":"2018-03-16T11:10:18+00:00","og_image":[{"width":600,"height":300,"url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg","type":"image\/jpeg"}],"author":"myCBSEguide","twitter_card":"summary_large_image","twitter_creator":"@mycbseguide","twitter_site":"@mycbseguide","twitter_misc":{"Written by":"myCBSEguide","Est. reading time":"7 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#article","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/"},"author":{"name":"myCBSEguide","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519"},"headline":"Motion in a Plane class 11 Notes Physics","datePublished":"2018-02-08T09:17:02+00:00","dateModified":"2018-03-16T11:10:18+00:00","mainEntityOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/"},"wordCount":1318,"commentCount":0,"publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage"},"thumbnailUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg","keywords":["CBSE Notes","CBSE Notes and Key Points","Motion in a Plane","Physics Notes","Quick Revision","Quick Revision Notes"],"articleSection":["Class 11","Revision Notes"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/","url":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/","name":"Motion in a Plane class 11 Notes Physics | myCBSEguide","isPartOf":{"@id":"https:\/\/mycbseguide.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage"},"thumbnailUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg","datePublished":"2018-02-08T09:17:02+00:00","dateModified":"2018-03-16T11:10:18+00:00","description":"Motion in a Plane class 11 Notes Physics Chapter 4 in PDF format for free download. Latest chapter wise notes for CBSE exams.","breadcrumb":{"@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#primaryimage","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2018\/02\/11_physics_revision_notes.jpg","width":600,"height":300,"caption":"Notes for Physical World"},{"@type":"BreadcrumbList","@id":"https:\/\/mycbseguide.com\/blog\/motion-in-a-plane-class-11-notes-physics\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mycbseguide.com\/blog\/"},{"@type":"ListItem","position":2,"name":"CBSE","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/"},{"@type":"ListItem","position":3,"name":"Class 11","item":"https:\/\/mycbseguide.com\/blog\/category\/cbse\/cbse-class-11\/"},{"@type":"ListItem","position":4,"name":"Motion in a Plane class 11 Notes Physics"}]},{"@type":"WebSite","@id":"https:\/\/mycbseguide.com\/blog\/#website","url":"https:\/\/mycbseguide.com\/blog\/","name":"myCBSEguide","description":"","publisher":{"@id":"https:\/\/mycbseguide.com\/blog\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mycbseguide.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mycbseguide.com\/blog\/#organization","name":"myCBSEguide","url":"https:\/\/mycbseguide.com\/blog\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/","url":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","contentUrl":"https:\/\/mycbseguide.com\/blog\/wp-content\/uploads\/2016\/04\/books_square.png","width":180,"height":180,"caption":"myCBSEguide"},"image":{"@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/mycbseguide\/","https:\/\/x.com\/mycbseguide","https:\/\/www.linkedin.com\/company\/mycbseguide\/","http:\/\/in.pinterest.com\/mycbseguide\/","https:\/\/www.youtube.com\/channel\/UCxuqSnnygFzwJG0pwogCNEQ"]},{"@type":"Person","@id":"https:\/\/mycbseguide.com\/blog\/#\/schema\/person\/f67796d5f5c5a468e8c680aaaad21519","name":"myCBSEguide"}]}},"_links":{"self":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/8958","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/comments?post=8958"}],"version-history":[{"count":5,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/8958\/revisions"}],"predecessor-version":[{"id":11667,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/posts\/8958\/revisions\/11667"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media\/8931"}],"wp:attachment":[{"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/media?parent=8958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/categories?post=8958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mycbseguide.com\/blog\/wp-json\/wp\/v2\/tags?post=8958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}