Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio :

Question

Dr. Abubacker · Accepted Answer

[Solution from source] E = L²/2I, so L = √(2IE). For equal E, L₁/L₂ = √(I/2I) = 1 : √2. The body with the larger moment of inertia has the larger angular momentum, not the smaller. Answer (4).

Q. Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio :

Explanation

Reviewed by Dr. Abubacker

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