Two rigid objects of identical mass and radius—a uniform solid sphere and a thin…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Two rigid objects of identical mass and radius—a uniform solid sphere and a thin hoop—are released simultaneously from rest at the same height on a rough incline that is long enough for both objects to maintain rolling without slipping until they reach the bottom. Air resistance is negligible.
(a) Describe which object reaches the bottom first. In your explanation, discuss how the distribution of mass in each object affects its motion down the incline.
(b) Explain whether changing the coefficient of static friction (while still remaining large enough to prevent slipping) would change the order in which the objects reach the bottom. Provide reasoning that cites relevant physical principles.