A student sits on a freely rotating stool holding dumbbells, each of mass `5.0 kg` (Fig). When his arms are extended horizontally (Fig a), the dumbbells are `1.0 m` from the axis of rotation and the student rotate with an angular speed of `1.0 rad//s`. The moment of inertia of the student plus stool is `5.0 kg.m^2` and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position `0.50 m` from the rotationa are (Fig.) The new angular speed of the student is.
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A thin circular disc of mass 12 kg and radius 0.5 m rotates with an angular velocity of 100 rad/s. The rotational kinetic energy of the disc is

a body of mass 10 kg and radius of gyration 0.1 m is rotating about an axis. If angular speed is 10 rad/s, then angular momentum will be:

a body of mass 10 kg and radius of gyration 0.1 m is rotating about an axis. If angular speed is 10 rad/s, then angular momentum will be:

A sphere of mass 10 kg and radius 0.5 m rotates about a tangent. The moment of inertia of the sphere is

A man stands at the centre of a circular platform holding his arms extended horizontally with 4 kg block in each hand. He is set rotating about a vertical axis at 0.5rev//s . The moment of inertia of the man plus platform is 1.6kg-m^(2) , assumed constant, the block are 90 cm from the axis of rotation. He now pulls the blocks in towards his body until they are 15 cm from the axis of rotation. Find (a) his new angular velocity and (b) the initial and final kinetic energy of the man and platform (c) how much work most the man do to pull int he blocks?

A man stands at the centre of a circular platform holding his arms extended horizontally with 4 kg block in each hand. He is set rotating about a vertical axis at 0.5rev//s . The moment of inertia of the man plus platform is 1.6kg-m^(2) , assumed constant, the block are 90 cm from the axis of rotation. He now pulls the blocks in towards his body until they are 15 cm from the axis of rotation. Find (a) his new angular velocity and (b) the initial and final kinetic energy of the man and platform (c) how much work most the man do to pull int he blocks?

A body of mass 2 kg and radius of gyration 0.5 m is rotating about an axis. If its angular speed is 2 rad/s, then the angular momentum of the body will be