A block of mass m is placed on a surface with a vertical cross section given by y = x 3 6 . If the coefficient of friction is 0 . 5 , the maximum height above the ground at which the block can be placed without slipping is

Question

A block of mass m is placed on a surface with a vertical cross section given by y = x 3 6 . If the coefficient of friction is 0 . 5 , the maximum height above the ground at which the block can be placed without slipping is, 1 6 m, 2 3 m, 1 3 m, 1 2 m

MARKS App · Accepted Answer

For block remain stationary. μ = tan θ ( θ is angle at that point) ∴ tan θ = μ = 1 2 (slope) y = x 3 6 ∴ d y d x = 3 x 2 6 = x 2 2 ⇒ slope = 1 2 ⇒ x = 1 ∴ y = (1) 3 6 = 1 6 m

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