A man is on a freely rotating platform. The moment of inertia of the platform is

Question

A man is on a freely rotating platform. The moment of inertia of the platform is l_platform = 1/2 MR^2. The moment of inertia of the man is I_man = mr^2, where r is the distance of the man from the axis of rotation.? As the person walks toward the axis of rotation: Angular momentum and kinetic energy of rotation are conserved. Angular momentum is conserved, but the kinetic energy of rotation is not conserved. Neither angular momentum nor kinetic energy of rotation are conserved Angular momentum is not conserved , but kinetic energy of rotation is conserved.

Explanation / Answer

here,

the man is standing at a distance r from the centtre

as the man walks towards the axis of rotation

using conservation of angular momentum

the angular momentum remains conserved

but the kinetic energy of the rotation is not conserved

so , the correct option is B) Angular momentum is conserved,but the kinetic energy of rotation is not conserved

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