A particle is placed at rest inside a hollow hemisphere of radius

PHYSICS · Single correct · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A particle is placed at rest inside a hollow hemisphere of radius RR. The coefficient of friction between the particle and the hemisphere is μ=13\mu=\frac{1}{\sqrt{3}}. The maximum height up to which the particle can remain stationary is (1) R2\frac{R}{2} (2) (1−32)R\left(1-\frac{\sqrt{3}}{2}\right)R (3) 32R\frac{\sqrt{3}}{2}R (4) 3R8\frac{3R}{8}

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