A uniform meter stick AB of mass M is lying in state of rest on a rough horizontal plane. A small block of mass `m` is placed on it at its centre C. A variable force F is applied at the end B of the stick so as to rotate the stick slowly about A in vertical plane. The force F always remains perpendicular to the length of the stick. The stick is raised to `theta = 60^(@)` and it was observed that neither the end A slipped on the ground nor the block of mass `m` slipped on the stick.
(a) `F_(1)` is force applied by the stick on the block. Plot the variation of `F_(1)` with `theta (0 le theta le 60^(@))`.
(b) What must be the minimum coefficient of friction between the block and the stick.
(c) `f` is the friction force acting at end A of the stick. Plot variation of `f vs theta (0^(@) le theta le 60^(@))`.
