Three compact objects with identical mass and identical radius are released…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Three compact objects with identical mass M and identical radius R are released simultaneously from rest at the top of the same rough incline that is high enough for each object to reach the bottom without slipping.
• Object 1 is a thin hoop.
• Object 2 is a solid uniform cylinder.
• Object 3 is a solid uniform sphere.
Air resistance is negligible.
(a) Rank the objects according to the magnitude of the translational speed of their centers of mass when they reach the bottom of the incline. Use ``>'' or ``="" between symbols 1, 2, and 3 to indicate clearly any ties.
(b) Provide a qualitative explanation for your ranking that refers explicitly to the distribution of kinetic energy between translational and rotational forms for each object.
(c) For each object, state whether more than one-half, exactly one-half, or less than one-half of the total kinetic energy at the bottom is translational. Justify each choice without performing numerical calculations.