In the figure (i), (ii) & (iii) shown the objects A, B & C are of same mass. String, spring & pulley are massless. C strikes B with velocity ‘u’ in each case and sticks to it. The ratio of velocity of B in case (i) to (ii) to (iii) is

In figures (a), (b) and (c) shown, the objects A, B and C are of same mass. String, spring and pulley are massless. C strikes B with velocity u in each case and sticks it. The ratio of velocity of B in case (a) to (b) to (c) is

Two masses 2m and m are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass 2m is resting on a surface and mass m is hanging in air as shown in the figure. A particle of mass m strikes the mass m from below and with a velocity v_(0) and sticks to it. In another case a particle of mass m strikes the mass m with a velocity v_()) from top and sticks to it. Calculate the ratio of velocities of mass m just after collision in first and second case.

Two masses 2m and m are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass 2m is resting on a surface and mass in is hanging in air as shown in Fig. A particle of mass in strikes the mass in from below in case (I) with a velocity v_(0) and in case (II) strikes mass in with a velocity v_(0) from top and sticks to it.

Two masses 2m and m are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass 2m is resting on a surface and mass in is hanging in air as shown in Fig. A particle of mass in strikes the mass in from below in case (I) with a velocity v_(0) and in case (II) strikes mass in with a velocity v_(0) from top and sticks to it.

Consdier the situation shown in figure (I ) find out velocity of B with respect to A (ii ) Find out velocity of A with respect to B

Consdier the situation shown in figure (I ) find out velocity of B with respect to A (ii ) Find out velocity of A with respect to B

In the arrangement shown in figure, pulley is smooth and massless and all the strings are light. Let F_(1) be the force exerted on the pulley in case (i) and F_(2) the force in case (ii). Then :