A uniform solid disc of mass and radius rolls without slipping across a horizontal…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A uniform solid disc of mass M and radius R rolls without slipping across a horizontal surface so that its center of mass moves at speed v.
Respond to the following prompts. Express all answers in symbolic form (in terms of M, v, and any other relevant given quantities) unless a numerical value is requested.
(a) Determine the kinetic energy associated with the translation of the disc’s center of mass.
(b) Determine the kinetic energy associated with rotation about the center of mass.
(c) What fraction of the disc’s total kinetic energy is rotational? Comment on whether this fraction would change for a different rigid body that rolls without slipping, such as a hoop or a solid sphere.