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

A particle is placed at rest inside a hollow hemisphere of radius R. T

1.	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
Answer» `(R )/(2)` `(1-(SQRT3)/(2))R` `(sqrt3)/(2)R` `(3R)/(8)` Solution :`h=R- R cos THETA,mu=Tan theta`