Rotational Motion

An annular ring with inner and outer radii \({R_1}\) and \({R_2}\) is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $${{{F_...

The moment of inertia of a uniform semicircular disc of mass \(M\) and radius \(r\) about a line perpendicular to the plane of the disc through the center is

One solid sphere \(A\) and another hollow sphere \(B\) are of same mass and same outer radii. Their moment of inertia about their diameters are respectively \({I_A}\) and \({I_B}\) such that

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same which on of the following will not be affected ?

A circular disc \(X\) of radius \(R\) is made from an iron plate of thickness \(t,\) and another disc \(Y\) of radius \(4\) \(R\) is made from an iron plate of thickness \({t \over 4}.\) Then the relation between the moment of inertia $${I...

A particle performing uniform circular motion has angular frequency is doubled & its kinetic energy halved, then the new angular momentum is

Let \(\overrightarrow F\) be the force acting on a particle having position vector \(\overrightarrow r ,\) and \(\overrightarrow \tau\) be the torque of this force about the origin. Then

A particle of mass \(m\) moves along line PC with velocity \(v\) as shown. What is the angular momentum of the particle about P?

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

Moment of inertia of a circular wire of mass \(M\) and radius \(R\) about its diameter is

Initial angular velocity of a circular disc of mass \(M\) is \({\omega _1}.\) Then two small spheres of mass \(m\) are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc...