A hollow sphere partly filled with water has moment of inertia `I` when it is rotating about its own axis at an angular velocity `omega`. If its angular velocity is doubled then its moment of inertia becomes

If the angular velocity of a rotating rigid body is increased then its moment of inertia about that axis

A rigid body can rotate an axis with a constant angular velocity and angular momentum L . What is its moment of inertia about the axis?

A cylinder full of water is rotating about its own axis with uniform angular velocity omega . Then the shape of free surface of water will be

A wheel of moment of inertia I and radius R is rotating about its axis at an angular speed omega . It picks up a stationary particle of mass m at its edge. Find the new angular speed of the wheel.

A round disc of moment of inertia I_2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_1 rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of discs is.

A round disc of moment of inertia I_2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_1 rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of discs is.

If omega_(E ) is the angular velocity of the earth rotating about its own axis and omega _(H) is the angular velocity of the hour of a clock , then

A round disc of moment of inertia I_(2) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_(1) rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of disc is.............

If the moment of inertia of a body rotating about an axis is increased, state whether its angular velocity increases or decreases when no external torque acts on the body.

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