IIT Jee Problem : Three spheres, each of mass m , can slides freely on a frictionless horizontal surface.

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming 'head on' inelastic impact between B and C , we cannot conserve kinetic energy of the entire system. The magnitude of velocity of A immediately after collision is

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length "l" and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming "Head on" inelastic impact between B and C , we can 't conserve kinetic energy of entire system. If velocity of C immediately after collision becomes (v_(0))/(2) in the initial direction of motion, the impulse due to string on sphere A is

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming 'head on' inelastic impact between B and C , we cannot conserve kinetic energy of the entire system. If velocity of C immediately after collision becomes (v_(0))/2 in the initial direction of motion, the impulse due to string on sphere A is

Three spheres, each of mass m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position shown where sphere B is struck by sphere C which is moving to the right with a velocity v_(0) . Knowing that the cord is taut where sphere B is struck by sphere C and assuming 'head on' inelastic impact between B and C , we cannot conserve kinetic energy of the entire system. The velocity of B immediately after collision is along unit vector

Block A of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizo-ntal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are:

Two identical beads each of mass 'm' can slide freely on a ring of mass M lying on smooth horizontal surface. The masses are brought to diametrically opposite positions and both are imparted with same tangential speed v in same direction. Find the kinetic energy of the ring when beads are about to collide.

Three particles each of mass m can slide on fixed frictionless horizontal circular tracks in the same horizontal plane as shown in the figure. The coefficient of restitution being e = 0.5 . Assuming that m_(2) and m_(3) are at rest initially and lie along a radial line before impact and the string is initially unstretched, then maximum extension in spring in subsequent motion

Two small and heavy spheres, each of mass M, are placed a distance r apart on a horizontal surface. The graviational potential at the mid-point on the line joining the centre of the spheres is :-

A block of mass m rests on a stationary wedge of mass M. The wedge can slide freely on a smooth horizontal surface as shown in figure. If the block starts from rest

A block of mass 2kg slides down the face of a smooth 45^@ wedge of mass 9 kg as shown in the figure. The wedge is placed on a frictionless horizontal surface. Determine the acceleration of the wedge.