The moment of inertia of two rotating bodies A and B are `I_A and I_B (I_a > I_B)` and the angular momenta are equal. Which one has greater K.E.

The MI of the rotating bodies A and B are I_A and I_B . I_A > I_B , but the bodies have equal angular momenta then which one will have greater KE?

A light and a heavy body have equal kinetic energies. Which one has greater momentum?

There is a tennis ball and a cricket ball of equal volume. Which one has greater inertia and why?

Define moment of inertia of a body capable of rotation about an axis. Show that the moment of inertia of a body an axis is numerically equal to twice its kinetic energy if it rotates with unit angular velocity.

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2IS, where M is the mass of the sphere and R is the radius of the sphere(b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR2I4, find its moment of inertia about an axis normal to the' disc and passing through a point on its edge.

Two circular disc A and B of same mass and sam ethickness are made of two different metals. Whose densites are d_A and d_B(d_A>d_b) . Which is greater I_A or I_n .

Prove that I = 2 xx KE of rotation.

(a) A child stands at the centre of a turntable with his two arms outstretched. The turntable is set rotating with an angular speed of 40 rev/min. How much is the angular speed of the child if he folds his hands back and thereby reduces his moment of inertia to 2/5 times the initial value? Assume that the turntable rotates without friction. (b) Show that the child’s new kinetic energy of rotation is more than the initial kinetic energy of rotation. How do you account for this increase in kinetic energy?

Torques of equal magnitude are applied to a hollow cylinder and a solid sphere, both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry, and the sphere is free to rotate about an axis passing through its centre. Which of the two will acquire a greater angular speed after a given time?