Author name: Kumar Rohan

1. Introduction In rotational dynamics, the moment of inertia (I) plays the same role as mass (m) in linear motion….

1. Introduction In rotational dynamics, the radius of gyration provides a simplified way of expressing how mass is distributed about

1. Concept Overview The Principle of Conservation of Angular Momentum states that if the net external torque acting on a

1. Introduction The Theorem of Parallel Axis helps in finding the moment of inertia [I] of a rigid body about any

1. Introduction The Theorem of Perpendicular Axes applies to planar (2D) bodies such as discs, rings, or laminae. It establishes

1. Introduction The moment of inertia (M.I.) of a uniform thin circular ring depends on the axis of rotation. In

1. Concept Overview A uniform thin circular ring has its entire mass distributed uniformly along its circumference. The moment of

Consider a circular disc of mass $M$, radius $R$, and center $O$. Then, \[ \text{mass per unit area} = \frac{M}{\pi

1. Concept Overview The moment of inertia (M.I.) of a body depends on the distribution of its mass about the