Question

a solid sphere and a hollow sphere each having mass m and radius r. The spheres are initially at rest and
are simultaneously let to roll down a θ degrees incline from a height of h. Derive the expression for their velocities
at the bottom and state whether the spheres will reach the bottom at the same time or not.


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Answer 1

$The solid sphere is has the moment of inertia as 52mr2 and that of hollow sphere is 32mr2. The moment of inertia for hollow sphere is larger thereby having a greater resistance to motion. Thus the solid sphere will have greater speed</p><p></p><p>$