A block of mass m is held at rest on a smooth horizontal floor. A light frictionless, small pulley is fixed at a height of 6m from the floor. A light inextensible string of length 16m, connected with A passes over the pulley and another identical block B is hung from the string initial height of B is 5m from the floor as shown in figure -3.130 When the system is released from rest, B starts to move vertically downwards and A slides on the floor towards right
(a) if at an instant string makes an angle `theta` with horizontal, calculate relation between velocity u of A and v of B
(b) Calculate c when B strikes the floor.

A block A of mass m is held at rest on a smooth horizontal floor. A light frictionless, small pulley is fixed at a height of 6m from the floor. A light inextensible string of length 16m , connected with A passes over the pulley and another identical block B is hung from the string. Initial height of B is 5m from the floor as shown in figure When the system is released from rest, B starts to move vertically downwards and A slides on the floor towards right. a. If at an instant string makes an angle theta with horizontal, calculate relation between velocity u of A and v of B. b. Calculate v when B strikes the floor. ( g=10ms^-2 ).

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