An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle α α with the vertical, the max possible value of α α is given by
Text Solution
Verified by ExpertsThe correct answer is:
A
From F.B.D.
Friction f = mg sin α α
N = mg cos α α
= tan α α for maximum possible value of α α .
Friction becomes limiting friction.
⇒ ⇒ μ μ = tan α α ⇒ ⇒ cot α α = 3, Hence the correct choice is
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