A solid sphere, hollow sphere and a disc, all having same mass and radius, are placed at the top of

Question

A solid sphere, hollow sphere and a disc, all having same mass and radius, are placed at the top of an inclined plane and released. The friction coefficients between the objects and inclined plane are same and not sufficient to allow pure rolling. Least time will be taken in reaching the bottom will be by

Professor PC Thomas Classes · Answer

Without sufficient friction for pure rolling, objects slide with uniform acceleration $a = g(\sin	heta - \mu\cos	heta)$, taking the same time.