A solid sphere is rotating about a diameter at an angular velocity `omega`. If it cools so that its radius reduces to `1//n` of its original value, its angular velocity becomes

A solid sphere is rotating about a diameter at an angular velocity omega . If it cools so that its radius reduces to I//n of its original value, its angular velocity becomes

A solid sphere spinning about a horizontal axis with an angular velocity omega is placed on a horizontal surface. Subsequently it rolls without slipping with an angular velocity of :

A charge q is given to a solid conducting sphere of mass m and is rotating about it's diameter with angular velocity omega .Then ratio of it's magnetic moment to its angular momentum is ..

A circular disc is rotating about its own axis at a uniform angular velocity omega . The disc is subjected to uniform angular retardation by which its angular velocity is decreased to omega/2 during 120 rotations. The number of rotations further made by it before coming to rest is

A solid sphere is rotating with a constant angular velocity about an axis touching the surface. Its angular momentum will be:

A uniform circular disc of radius R is rotating about its own axis with moment of inertia I at an angular velocity omega if a denser particle of mass m is gently attached to the rim of disc than its angular velocity is

A thin circular ring of mass M and radius R is rotating about its axis with constant angular velocity omega . The objects each of mass m are attached gently to the ring. The wheel now rotates with an angular velocity.

A ceiling fan is rotating about its own axis with uniform angular velocity omega . The electric current is switched off then due to constant opposing torque is its angular velocity is reduced to (2 omega)/3 as it completes 30 rotations. The number of rotations further it makes before coming to rest is

Find the angular momentum about the axis of rotation and kinetic energy. (a) A uniform circular disc of mass m and radius R rotating about its diameter with an angular speed omega . (b) A uniform square plate of mass m and edge L rotating about its diagonal with an angular speed omega .