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Q.

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

0.60 m

b

0.45 m

c

0.20 m

d

0.80 m

answer is C.

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Detailed Solution

At a point where slipping just starts, ​f=mg  sinθ      ​⇒ μmgcosθ=mg  sinθ​⇒tanθ = μ​as  μ=0.75,   θ=370               ​ ∴h=R1−cosθ=0.20  m
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An insect is at the bottom of a hemispherical ditch of radius 1m. 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