A body moves along a circular path of the radius 5 m . The coefficient of friction between the surface of the path and the body is 0 . 5 . The angular velocity in rad s - 1 , with which the body should move so that it does not have to leave the path is (Take g = 10 m s - 2 )

Question

A body moves along a circular path of the radius 5 m . The coefficient of friction between the surface of the path and the body is 0 . 5 . The angular velocity in rad s - 1 , with which the body should move so that it does not have to leave the path is (Take g = 10 m s - 2 ), 4, 3, 2, 1

MARKS App · Accepted Answer

Here, μ = 0.5 r = 5 m, g = 10 m s -2 The friction force provides the centripetal force ∴ mv 2 r = μ mg or v 2 = μ rg or v = μ rg = 0.5 5 m 1 0 m s - 2 = 5 m s - 1 As v = r ω or ω = v r = 5 m s - 1 5 m = 1 rad s - 1

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