An insect is at the bottom of a hemisphere 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 b/w the ground and insect is 0.75. Then h is :
Option: 1 0.6 m
Option: 2 0.45 m
Option: 3 0.2 m
Option: 4 0.8 m
Till the component of its weight along with the bowl is balanced by limiting frictional force, then only the insect crawl up the bowl, up to a certain height h
Let m=mass of the insect, r=radius of the bowl, μ= coefficient of friction for limiting condition at point
where
h = height up to which insect can climb
m = mass of insect
r = radius of the bowl
coefficient of friction
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