(i) Moment of inertia of a hollow cylinder about its own axis: Fig. 1 Let us consider a hollow cylinder of inner radius , outer radius and length . So…
Moment of inertia of a solid circular cylinder about its own axis: Let us consider a solid circular cylinder of length l and radius r be rotating about its own…
An annular disc is a flat circular ordinary disc, which has a concentric circular hole in it. (i) Moment of inertia of an annular ring or disc through its centre…
(i) Moment of inertia of a plane circular disc about an axis through its centre and perpendicular to its plane: Fig.1 Let us consider a circular disc of radius r…
Perpendicular axes theorem (laminar body): The perpendicular axes theorem states that the sum of moments of inertia of a plane laminar body about any two mutually perpendicular axes in the…
Parallel Axes Theorem: Parallel axis theorem states that the moment of inertia of a body about any axis is equal to the sum of its moment of inertia about a…
Relation between torque and moment of inertia: Let us consider that a rigid body consists of a large number of particles of masses , , , etc., rotating about a…
Relation between angular momentum and moment inertia: Let us consider that a rigid body consists of a large number of particles of masses , , , etc., rotating about a…
Physical significance of moment of inertia: According to Newton's 1st law of motion, the stationary object is fixed forever and the moving object continues to move along a straight line…
Moment of inertia: Let us consider, a rigid body is rotating about an fixed axis with a uniform angular velocity . This rigid body consists of a large number of…