Physics - Rotation Question with Solution | TestHub

The rotational kinetic energy $K$ of a body is related to its angular momentum $L$ and moment of inertia $I$ by the relation:

$K=\frac{L^2}{2I}$

Given that the angular momenta of both bodies are equal ($L_x=L_y=L$), the rotational kinetic energy is inversely proportional to the moment of inertia:

$K\propto \frac{1}{I}$

It is given that $I_2>I_1$, which means the moment of inertia of body Y is greater than that of body X.

Therefore, $K_x>K_y$.

Answer: $K_x>K_y$