Q: In figure the coefficient of friction between the floor and the body B is 0.1. The coefficient of friction between the bodies B and A is 0.2. A force F is applies as shown on B. the mass of A is m/2 and of B is m. which of the following statements are true ?

(a) The bodies will moves together if F = 0.25 mg

(b) The body A will slip with respect to B is F = 0.5 mg

(c) The bodies will be at rest if F = 0.1 mg

(d) The maximum value of F for which the two bodies will move together is 0.45 mg

Ans: (a) , (b) ,(c) & (d)