Rotational Motion

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

Consider a ring of mass $M$, radius $R$ and center $O$. Then, mass per unit length of the circumference of

Let $I_d$ be the moment of inertia of the circular ring about the diameter $XX’$. Let $YY’$ be another diameter

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

Concept Overview The relation between torque and angular momentum forms a fundamental connection between rotational dynamics and rotational kinematics, just

1. Introduction Just as linear momentum measures the quantity of motion in linear dynamics, angular momentum measures the quantity of

Concept Overview When a rigid body rotates about a fixed axis, each particle of the body moves in a circle