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A concurrent vector system is a set of two or more vectors whose lines of action intersect at a point. It is not necessary for all or any of the vectors to be actually in contact with the common point.
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In General form Moment of Inertia is expressed as: I = mr2
and, Integral form: I = ∫dI = ∫[0→M] r2 dm
⇒ The dimensional formula of the moment of inertia is given by, M1 L2 T0.
The role of the moment of inertia is the same as the role of mass in linear motion. It is the measurement of the resistance of a body to a change in its rotational motion. It is constant for a particular rigid frame and a specific axis of rotation.
Moment of inertia, I = ∑mi ri2. . . . . . . (1)
Kinetic Energy, K = ½ I ω2 . . . . . . . . . (2)
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Jagteshwar Singh 6 years, 3 months ago
2Thank You