An insect crawls up a hemispherical surface as shown the coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemisperical surface to the insect makes an angle theta with the vertical, the maximum possible value of theta is given by

An insect crawls up a hemispherical surface as shown the coefficient o

1.	An insect crawls up a hemispherical surface as shown the coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemisperical surface to the insect makes an angle theta with the vertical, the maximum possible value of theta is given by
Answer» Solution : `N=mg cos theta` …….(1) `mu N = mg sin theta` …….(2) From (1) and (2) we get : `COT theta =1//mu=3 RARR theta = cot^(-1)(3)`