A solid sphere and a solid cylinder have the same mass and radius
PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A solid sphere and a solid cylinder have the same mass M and radius R. Both are released from rest at the same height on identical rough ramps and roll without slipping to the bottom. Which object reaches the bottom with the greater center-of-mass speed, and why?
(a) The cylinder, because its smaller moment of inertia relative to MR2 leaves more of the gravitational energy in translational form.
(b) Neither; both objects reach the bottom with the same speed because they start with the same potential energy.
(c) The sphere, because its smaller moment of inertia relative to MR2 leaves more of the gravitational energy in translational form.
(d) The sphere, because static friction does no work, so the sphere loses less energy to friction than the cylinder.