Two identical spheres A, B are in a smooth horizontal circular smooth groove at opposite ends of a diameter. A is projected along the groove and it impinges on B in a time interval T. Let e be the coefficient of restitution, the

Two equal sphere A and b lie on a smooth horizontal circle groove at opposite ends of a diameter. At time t= 0,A is projected along the groove and tis first implings on B at time t = T_(1) and again at time t = T_(2). If e is the coefficient of restitution, the ratio T_(2)//T_(1) is

Two sphere A and B of equal masses lie on the smooth horizontal circular groove at opposite ends of diameter and at the end of time 't','A' impings on 'B' . If 'e' is the coefficient of restitution, the second impinge will occur after a time

A small ball is projected with a velocity u at some angle with horizontal towards a smooth vertical wall at a distance d from the point of projection after rebounding from the wall . If e is the coefficient of restitution then find maximum distance d for which ball may return to point of projection .

A wedge of mass M and angle alpha rests on a smooth horizontal plane. A smooth sphere of mass m strickes it in a direction perpendicular to its inclined face and rebounds. If the coefficient of restitution is e, find the ratio of the speed of the sphere just before and just after the impact.

A long block A is at rest on a smooth horizontal surface. A small block B, whose mass is half of A, is placed on A at one end and projected along A with some velocity u. The coefficient of friction between the blocks is mu :