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^(@)).

A uniform meter stick AB of mass M is lying in state of rest on a roug

1.	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^(@)).
Answer» Answer :(a) `(##IJA_PHY_V01_C06_E01_082_A01##)` (B) `mu_("min") = SQRT3` (c) `(##IJA_PHY_V01_C06_E01_082_A02##)`