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An insect is at the bottom of a hemispherical ditch of radius 1 m.

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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 ms–2)

(1) 0.20 m

(2) 0.60 m

(3) 0.80 m

(4) 0.45 m

1 Answer
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(1) 0.20 m

Explanation:

mg sinθ = μmg cosθ

tanθ = μ = 0.75

=> θ = 37

cosθ = R - h/R

cos37 = 1 - h/1 

=> h = 0.2

This post was modified 4 years ago 2 times by nikhil04
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