K.E. of rotation will remain constant if moment of the body is maintained constant.
what is kinetic energy?
A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.
Main body:
This is as per the principle of conservation of angular momentum, i.e.
when T = 0, L= Iω = constant.
K.E. of rotation = 1/2 Iω²
E = I²ω²/2I = L²/2I
where L is constant, therefore, E∝1/I
i.e., K.E. of the system is not constant.
Therefore, moment of inertia of the system increase and K.E. will decrease and vice-versa.
Therefore, K.E. of rotation will remain constant if moment of the body is maintained constant.
To learn more about kinetic energy
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