{"id":8949,"date":"2018-02-08T13:13:50","date_gmt":"2018-02-08T07:43:50","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=8949"},"modified":"2018-10-23T14:56:12","modified_gmt":"2018-10-23T09:26:12","slug":"motion-in-a-straight-line-class-11-notes-physics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/motion-in-a-straight-line-class-11-notes-physics\/","title":{"rendered":"Motion in a Straight Line class 11 Notes Physics"},"content":{"rendered":"<p>CBSE class 11 Physics Chapter 3 Motion in a Straight Line notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides \u00a0Motion in a Straight Line class 11 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 11 Physics notes on Chapter 3 Motion in a Straight Line are also available for download in CBSE Guide website.<\/p>\n<h2>Motion in a Straight Line class 11 Notes Physics<\/h2>\n<p>Download CBSE class 11th revision notes for Chapter 3 Motion in a Straight Line in PDF format for free. Download revision notes for Motion in a Straight Line class 11 Notes and score high in exams. These are the Motion in a Straight Line 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<p>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<p style=\"text-align: center;\"><strong>CBSE Class 12 Physics Revision Notes\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-revision-notes\/7\/\">Download as PDF<\/a><\/strong><\/p>\n<h2><strong>CBSE Class 12 Physics Revision Notes Chapter 3 Motion in a Straight Line<br \/>\n<\/strong><\/h2>\n<ol>\n<li><strong>Position, path length and displacement <\/strong><\/li>\n<li><strong>Velocity and Speed <\/strong><\/li>\n<li><strong>Acceleration and Relative velocity <\/strong><\/li>\n<li><strong>Kinematic equations for uniformly accelerated motion <\/strong><\/li>\n<\/ol>\n<p>1. An object is said to be in motion if its position changes with time. The position of the object can be specified with reference to a conveniently chosen origin. For motion in a straight line, position to the right of the origin is taken as positive and to the left as negative.<\/p>\n<p>2. Path length is defined as the total length of the path traversed by an object.<\/p>\n<p>3. Displacement is the change in position: <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 x = x_2 - x_1\" \/><\/span><\/span>. Path length is greater or equal to the magnitude of the displacement between the two\u00a0points.<\/p>\n<p>4. An object is said to be in uniform motion in a straight line if its displacement is equal in\u00a0equal intervals of time. Otherwise, the motion is said to be non-uniform.<\/p>\n<p>5. Average velocity is the displacement divided by the time interval in which the displacement occurs: <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 \\nu = \\frac{{\\Delta x}}{{\\Delta t}}\" \/><\/span><\/span>. It is a vector quantity and its SI unit is m\/s.<br \/>\nOn an x-t graph, the average velocity over a time interval is the slope of the line connecting the initial and final positions corresponding to that interval.<\/p>\n<p>6. Average Speed is the ratio of total path length traversed and the corresponding time interval. It is a scalar quantity and its SI unit is same (m\/s) as that of velocity.<br \/>\nThe average speed of an object may be\u00a0greater or equal to the magnitude of the average velocity over a given time interval.<\/p>\n<p>7. Instantaneous velocity or simply velocity is defined as the limit of the average velocity as the time interval \u0394t becomes infinitesimally small: <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 = \\mathop {\\lim }\\limits_{t \\to o} \\,\\bar v = \\mathop {\\lim }\\limits_{t \\to o} \\frac{x}{t}=\\frac{{dx}}{{dt}}\" \/><\/span><\/span>. It is also a vector quantity and its SI unit is m\/s.<br \/>\nThe velocity at a particular instant is equal to the slope of the tangent drawn onposition-time graph at that instant.<\/p>\n<p>8. Average acceleration is the change in velocity divided by the time interval during which the change occurs: <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{\\nu }{t}\" \/><\/span><\/span><\/p>\n<p>It is a scalar quantity and its\u00a0SI unit is m\/s<sup>2<\/sup>.<\/p>\n<p>9. Instantaneous acceleration is defined as the limit of the average acceleration as the time interval \u0394t goes 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?a =\\mathop {\\lim }\\limits_{t \\to o} \\overline a =\\mathop {\\lim }\\limits_{t \\to o} \\;\\frac{\\nu }{t}\\;=\\frac{{d\\nu }}{{dt}}\" \/><\/span><\/span><\/p>\n<p>It is a vector\u00a0quantity and its\u00a0SI unit is m\/s<sup>2<\/sup>.<\/p>\n<p>The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time. For uniform motion, acceleration is zero and the x-t graph is a straight line inclined to the time axis and the v-t graph is a straight line parallel to the time axis. For motion with uniform acceleration, x-t graph is a parabola while the v-t graph is a straight line inclined to the time axis.<\/p>\n<p>10. The area under the velocity-time curve between times <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_1}\" \/><\/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?{t_2}\" \/><\/span><\/span>is equal to the displacement of the object during that interval of time.<\/p>\n<p>11. For objects in uniformly accelerated rectilinear motion, the five quantities, displacement <strong>x<\/strong>, time taken<strong> t, <\/strong>initial velocity <strong>v<sub>0<\/sub><\/strong>, final velocity <strong>v<\/strong> and acceleration <strong>a<\/strong> are related by a setof simple equations called kinematic equations of motion :<\/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} \\nu = {\\nu _o} + at\\\\ x = {\\nu _o}t + \\frac{1}{2}a{t^2}\\\\ {\\nu ^2} = \\nu _0^2 + 2ax \\end{array}\" \/><\/span><\/span><\/p>\n<p>provided the position of the object at time t = 0 is 0.<\/p>\n<p>If the particle starts at x = x<sub>0<\/sub> , x in above equations is replaced by (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?{x_0}\" \/><\/span><\/span>).<\/p>\n<ul>\n<li>When a body moves in a circular path with Increasing angular velocity, it has two linear accelerations.<\/li>\n<\/ul>\n<p>(i) Centripetal acceleration a<sub>c<\/sub> and tangential acceleration a<sub>T<\/sub>.\u00a0Resultant acceleration of the body 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?a = \\sqrt {\\mathop a\\nolimits_c^2+ \\mathop a\\nolimits_T^2 }\" \/><\/span><\/span>\u00a0at an angle Beta 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 \\beta\u00a0 = \\frac{{{a_T}}}{{{a_C}}}\" \/><\/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?\" \/><\/span><\/span><\/p>\n<p>Where \u00a0Beta is the angle between a 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_C}\" \/><\/span><\/span>.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/11\/physics\/11_Physics_revise_ch03_01.png\" \/><\/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?{F_2} = \\frac{{{m_3}F}}{{{m_1} + {m_2} + {m_3}}}\" \/><\/span><\/span><\/p>\n<ul>\n<li>The minimum height through which a motor cyclist has to descend to a vertical loop of radius r is h=<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?\\frac{5}{2}r\" \/><\/span><\/span><\/li>\n<li>Circular Motion<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/11\/physics\/11_Physics_revise_ch03_02.png\" alt=\"Motion in a Straight Line class 11 Notes Physics\" width=\"138\" height=\"111\" \/><\/p>\n<ul>\n<li><strong>Angular<\/strong> <strong>displacement<\/strong> <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?\\left( \\theta\u00a0 \\right)\" \/><\/span><\/span>: The angular displacement of an object moving around a circular path is defined as the angle subtended by the radius vector at the centre of the circular path in the given time.<\/li>\n<li><strong>Angular velocity<\/strong><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?\\left( \\omega\u00a0 \\right)\" \/><\/span><\/span><strong>:<\/strong> It is defined as the time rate of change of angular displacement of the object <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.e.\\omega\" \/><\/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?\\frac{d\\Theta }{dt}\" \/><\/span><\/span>. Its S.I unit is <strong>rad\/s.<\/strong><\/li>\n<li><strong>Uniform circular motion: <\/strong>when a point object is moving on a circular path with a constant speed ,then the motion of the object is said to be a uniform circular motion.<\/li>\n<li><strong>Centripetal acceleration:<\/strong> It is defined as the acceleration of an\u00a0object undergoing uniform circular motion .It always acts along the radius towards the centre of the circular path. The magnitude of centripetal acceleration is, a = v<sup>2<\/sup>\/r.<\/li>\n<li>The rate of change of angular velocity\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?\\left( \\omega\u00a0 \\right)\" \/><\/span><\/span>\u00a0is called its angular 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?\\left( \\alpha\u00a0 \\right)i.e.\" \/><\/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?\\alpha\u00a0 = \\frac{{d\\omega }}{{dt}} = \\frac{{{d^2}\\theta }}{{d{t^2}}}\" \/><\/span><\/span><\/li>\n<li>The acceleration which changes the magnitude of the velocity is called tangential acceleration. It 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?{a_T} = \\iota \\alpha\" \/><\/span><\/span>,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?\\alpha\" \/><\/span><\/span>is the angular acceleration,<\/li>\n<\/ul>\n<p>The direction of tangential acceleration is along the tangent to curved path.<\/p>\n<ul>\n<li>velocity of projection at lowest point<\/li>\n<li>velocity at the highest point H<\/li>\n<li>Tension at lowest point<\/li>\n<li>For oscillation in vertical circle <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?0 &amp;lt; {v_L} \\leqslant \\sqrt {2gr}\" \/><\/span><\/span><\/li>\n<li>For leaving the vertical circle somewhere between\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?{90^0} &amp;lt; 0 &amp;lt; {180^0},\\sqrt {2gr}\u00a0 &amp;lt; {v_L} &amp;lt; \\sqrt {5gr}\" \/><\/span><\/span><\/li>\n<\/ul>\n<ul>\n<li><strong>Acceleration <\/strong>of a body down a rough inclined plane a =\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?g(\\sin \\theta\u00a0 - \\mu \\cos \\theta )\" \/><\/span><\/span><\/li>\n<li>When a person of mass m climbs up a rope with acceleration a, the tension in the rope is t = m(g+a)<\/li>\n<\/ul>\n<p>When the person climbs down the rope with acceleration a, tension in the rope is T= m(g-a)<\/p>\n<ul>\n<li>Suppose two masses <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?{m_1}\" \/><\/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?{m_2}\" \/><\/span><\/span>are suspended vertically from a rigid support with the help of strings as shown in Fig. When mass <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?{m_2}\" \/><\/span><\/span>is pulled down with a force F, 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?{T_2} = F + {m_2}g\" \/><\/span><\/span> and<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/11\/physics\/11_Physics_revise_ch03_03.png\" \/><\/p>\n<ul>\n<li>When the same system of two masses attached to a string passes over a frictionless pulley at the edge of an inclined plane ,as shown in Fig.<\/li>\n<\/ul>\n<p>Equation wil be\u2026<\/p>\n<ul>\n<li><strong>During motion on level curved road<\/strong>, the necessary centripetal force is provided by the force of friction between the tyres and the road. The maximum velocity with which a vehicle can go round a level curve without Skidding 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?v = \\sqrt {\\mu rg}\" \/><\/span><\/span><\/li>\n<\/ul>\n<ul>\n<li>To increase speed on turn, curved roads are usually baked <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.\\theta .\" \/><\/span><\/span>outer edge of the curved road is raised suitably above the inner edge. If 0 (theta) is the angle of banking ,then\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 \\theta= \\frac{{{v^2}}}{{r\\,g}}\" \/><\/span><\/span>.<\/li>\n<\/ul>\n<p>When frictional force is ignored ,the optimum speed 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?{v_0} = {(tg\\,\\tan \\theta )^{\\frac{1}{2}}}\" \/><\/span><\/span><\/p>\n<ul>\n<li>While rounding a banked curved road ,maximum permissible speed 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_{nax}=\\left | \\frac{rg(V_{s}+tan\\theta )}{(1-\\mu _{s}tan\\theta )} \\right |^{1\/2}\" \/><\/span><\/span>when friction is taken into account.<\/li>\n<li>When a cyclist takes a turn he bends a little inwards from his vertical position, while turning. 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> of bending from vertical position 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?\\tan \\theta= \\frac{{{v^2}}}{{rg}}\" \/><\/span><\/span><\/li>\n<\/ul>\n<ul>\n<li>Motion along a vertical circle is a non uniform circular motion. Tension in the string at any position 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 = \\frac{{m{v^2}}}{r} + mg\\,\\cos \\,\\theta ,\" \/><\/span><\/span>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?\\theta\" \/><\/span><\/span> is the angle of string with vertical line for looping with optimum speed:- (when tension at highest point is zero)<\/li>\n<\/ul>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/11\/physics\/11_Physics_revise_ch03_04.png\" \/><\/p>\n<p>Impulse <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?\\mathop |\\limits^ -\u00a0\" \/><\/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?{\\overrightarrow F _{av}} \\times t = \\overrightarrow {{p_2}}\u00a0 - \\overrightarrow {{p_1}}\" \/><\/span><\/span><\/p>\n<ul>\n<li>Any system is said to be in equilibrium if net force applied on the system is zero . In this case system is either at rest or in uniform motion .<\/li>\n<li>Friction is the opposing force that comes into play when one body is actually moving over the surface of another body or one body is trying to move over the surface of the other,<\/li>\n<\/ul>\n<p>Two causes of friction are: roughness of surface in contact;(ancient view) and,<\/p>\n<p>Force of adhesion between the molecules of the surfaces in contact.(Modern view)<\/p>\n<ul>\n<li>Type of solid friction:-<\/li>\n<\/ul>\n<ol>\n<li>Static friction. It comes into effect when object is at rest but external force is applied.<\/li>\n<li>Dynamic friction .it comes into effect when object is in motion.<\/li>\n<li>Rolling friction-it comes into effect when object is\u00a0rolling.<\/li>\n<\/ol>\n<ul>\n<li>Limiting friction is the maximum value of static friction, whereas dynamic\/ Kinetic friction is somewhat less than the force of limiting friction.<\/li>\n<li>Coefficient of friction <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 =\\frac{F}{R}\" \/><\/span><\/span><\/li>\n<\/ul>\n<p>When F= external force and R= normal reaction<\/p>\n<ul>\n<li><strong>Angle of friction <\/strong><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?\\left( \\theta\u00a0 \\right)\" \/><\/span><\/span>\u00a0is the angle which resultant of F and R makes with the direction of R. The relation between <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 \\,and\\,\\theta \\,is\\,\\mu\u00a0 = \\tan \\theta\" \/><\/span><\/span><\/li>\n<li><strong>Angle of repose<\/strong>(a) is the minimum angle of inclination of a plane with the horizontal ,such that a body placed on the plane just begins to slide down.<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\u00a0 = \\tan \\alpha\" \/><\/span><\/span><\/li>\n<li><strong>Centripetal force <\/strong>is the force required to move a body uniformally in a circle.<\/li>\n<\/ul>\n<h2><strong>CBSE Class 11 Revision Notes<\/strong><\/h2>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/cbse-revision-notes\/7\/\">Physics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-chemistry\/1356\/cbse-revision-notes\/7\/\">Chemistry<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-mathematics\/1371\/cbse-revision-notes\/7\/\">Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-biology\/1388\/cbse-revision-notes\/7\/\">Biology<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-accountancy\/1411\/cbse-revision-notes\/7\/\"> Accountancy<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-economics\/1423\/cbse-revision-notes\/7\/\">Economics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-business-studies\/1740\/cbse-revision-notes\/7\/\">Business Studies<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-computer-science\/1852\/cbse-revision-notes\/7\/\">Computer Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-informatics-practices\/1874\/cbse-revision-notes\/7\/\">Informatics Practices<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-11-geography\/1864\/cbse-revision-notes\/7\/\">Geography<\/a><\/li>\n<\/ul>\n<p>To download Motion in a Straight Line 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\/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 3 Motion in a Straight Line notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides \u00a0Motion in a Straight Line class 11 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. &#8230; <a title=\"Motion in a Straight Line class 11 Notes Physics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/motion-in-a-straight-line-class-11-notes-physics\/\" aria-label=\"More on Motion in a Straight Line 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":[457,150,473,458,426,240],"class_list":["post-8949","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-straight-line","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 Straight Line class 11 Notes Physics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Motion in a Straight Line class 11 Notes Physics chapter 3 in pdf format for free download. 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