Rotational and Translational Energy Ratio

Question

A uniform disk with moment of inertia $$I = \frac{1}{2}MR^2$$ is placed on a surface with a coefficient of kinetic friction $$\mu_k$$. The disk is given an initial angular velocity $$\omega_0$$ and an initial linear velocity of zero. As the disk moves toward a state of pure rolling, how does the ratio of its rotational kinetic energy to its translational kinetic energy change?

Accepted Answer

Decreases until pure rolling is achieved

Answer

Remains constant throughout the motion

Answer

Increases until pure rolling is achieved

Answer

Oscillates between maximum and minimum values

Rotational and Translational Energy Ratio

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