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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 $(g = 10 {ms}^{- 2})$ .

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detailed solution

Correct option is D

For balancing mgsin⁡ θ=f mg sin ⁡θ=μ mgcos ⁡θ tan⁡ θ=μ tan⁡ θ=34 h=R−Rcos⁡ θ =R−R45=R5h=R5=0.2m

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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=10ms−2.

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Ready to Test Your Skills?

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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 $(g = 10 {ms}^{- 2})$ .