Question

A body of circular cross-section starts from rest from top of a rough inclined plane of inclincation 30° , vertical height 0.875 m; μ_k = 0.3. It rolls down without slipping; reaching the bottom of inclined in 1 s. The shape of body is (g = 9.8 ms^-2)

(1) Ring

(2) Disc

(3) Hollow sphere

(4) Solid sphere

Answer 1

(4) Solid sphere

The slant side, l ; of inclined plane is

Let a be the linear acceleration of center of mass of body. Given

Let I be the M.I of the body about axis through its center of mass. We know

The body is a solid sphere.