An insect is at the bottom of a hemispherical ditch of radius 1 m . It crawls up the ditch but starts…

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 his :g=10 m s-2
  1. 0.20 m
  2. 0.45 m
  3. 0.60 m
  4. 0.80 m

Solution

  

mgsinθ=μmgcosθ

tanθ=μ=0.75

⇒θ=37

cosθ=R-hR

cos37=1-h1⇒h=0.2

Asked in: JEE Main 2020 (06 Sep Shift 1)

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