In the figure shown the masses are attached to the inextensible string. At any instant, let the positions of `m_(1)` and `m_(2)` be `x_(1)` and `x_(2)` respectively as shown in the Fig.

In the situation shown in fig., all the strings are light and inextensible and pullies are light. There is no friction at any surface and all blocks are of cuboidal shape. A horizontal force of magnitude F si applied to right most free end of string in both cases shown in the figure. At the instant shown, the tension in all strings are non-zero. Let the magnitudes of acceleration of large blocks (of mass M) in fig. be a_(1) and a_(2) respectively. Then,

In fig. a ball of mass m_(1) and a block of mass m_(2) are joined together with an inextensible string. The ball can slide on a smooth horizontal surface. If v_(1) and v_(2) are the respective speeds of the ball and the block, then determine the constraint relation between the two.

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibruim, then

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

The slope of graph as shown in figure at points 1,2 and 3 is m_(1), m_(2) and m_(3) respectively then

In the figure shown tension in string AB always lies between m_(1)g and m_(2)g . (m_(1)!=m_(2)) Tension in massless string is uniform throughout.

Three blocks of masses m_(1), m_(2) and M are arranged as shown in figure. All the surfaces are fricationless and string is inextensible. Pulleys are light. A constant force F is applied on block of mass m_(1) . Pulleys and string are light. Part of the string connecting both pulleys is vertical and part of the strings connecting pulleys with masses m_(1) and m_(2) are horizontal. {:((P),"Accleration of mass " m_(1),(1) F/(m_(1))),((Q),"Acceleration of mass" m_(2),(2) F/(m_(1)+m_(2))),((R),"Acceleration of mass M",(3) "zero"),((S), "Tension in the string",(4) (m_(2)F)/(m_(1)+m_(2))):}

In the arrangement shown in the figure -1.132 if v_(1) and v_(2) are instaneous velocities of masses m_(1) and m_(2) respectively, and angle ACB=2 theta at the instant then :