Calculate the height upto which an insect can crawl up a fixed bowl in the form of a hemisphere of radius r. Given coefficient of friction is `1//sqrt3`.

A particle is placed at rest inside a hollow hemisphere of radius R . The coefficient of friction between the particle and the hemisphere is mu = (1)/sqrt(3) . The maximum height up to which the particle can remain stationary is

An engine of one metric ton is going up an inclined plane of slope 1 in 2 at the rate of 36km h^(-1) If the coefficient of friction is 1//sqrt3 calculate the power of the engine in k W .