An inclined plane of angule a is fixed onto a horizontal turntable with its line of greater slope in same plane as a diameter of forntable .A small block is placed on the inclined plane a distance `r` from the axis the coefficient of fraction between the block and the inclined plane is `mu` The turntable along with incline plane spins about its axis with constant minimum angular velocity `omega`

a. Find an capression for the minimum angular velocity `omega` to prevent the block from sliding down the plane in term of `g, r, mu ` and the plane `omega`
b. Now a block of mass but having coefficient friction (with inclined plane)`2mu` is kept instead of the original block . find the radius of friction force acting between block and incline now to the friction force active in part (a)