An insect is at the bottom of a hemispherical ditch of radius 1 m . It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0 . 75 , then h is : g = 10 m s - 2

Question

An insect is at the bottom of a hemispherical ditch of radius 1 m . It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0 . 75 , then h is : g = 10 m s - 2, 0 . 20 m, 0 . 45 m, 0 . 60 m, 0 . 80 m

MARKS App · Accepted Answer

mgsin θ = μ mgcos θ tan θ = μ = 0 . 75 ⇒ θ = 37 cos θ = R - h R cos 37 = 1 - h 1 ⇒ h = 0 . 2

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