A hollow sphere is released from the top of an inclined plane of inclination . What should be minimum coefficient of friction between the sphere and plane to prevent sliding?
Answer is of form k . Value of k is-
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Note that the axis through the point of contact of the hollow sphere is the instantaneous axis of rotation.
So, about the instantaneous axis of rotation,
3 5 m R 2 m g sin θ R = 3 2 m R 2 f r f = 5 2 m g sin θ ≤ μ m g cos θ μ ≥ 5 2 tan θ
Here f denotes friction force and m denotes mass of the hollow sphere.