Three rigid objects each have the same mass and radius and roll without slipping…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Three rigid objects each have the same mass M and radius R and roll without slipping across a horizontal surface, all with identical center-of-mass speeds. The objects are
• a solid sphere,
• a solid cylinder, and
• a thin hoop.
(a) Rank the three objects from greatest to least according to the fraction of their total kinetic energy that is rotational.
(b) Clearly explain the reasoning that leads to your ranking, making explicit reference to how the distribution of mass within each object influences the result.