A thin-walled hollow tube rolls without sliding along the floor.The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass)is:
A)1
B)2
C)3
D)1/2
E)1/3

Question

Quizplus · Accepted Answer

For a thin-walled hollow tube, the moment of inertia I = mR^2. The translational kinetic energy is (1/2)mv^2 and the rotational kinetic energy is (1/2)Iω^2 = (1/2)mR^2(v/R)^2 = (1/2)mv^2. Therefore, the ratio is 1.

A Thin-Walled Hollow Tube Rolls Without Sliding Along the Floor