A solid uniform cylinder of mass and radius is released from rest at the top of a…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A solid uniform cylinder of mass 2.5kg and radius 0.18m is released from rest at the top of a ramp and rolls without slipping. Just before reaching the bottom, motion-sensing equipment records that the center of mass of the cylinder is moving at 4.0ms−1.
(a) Calculate the translational kinetic energy of the cylinder at the bottom of the ramp.
(b) Determine the rotational kinetic energy of the cylinder about its central axis at that same instant.
(c) Compute the percentage of the cylinder’s total kinetic energy that is in rotational form.
(d) Provide a qualitative explanation for why this percentage would be larger if the object were a thin hoop of the same mass and radius rolling with the same center-of-mass speed.