Two smooth balls of mass `m_1` and `m_2` connected by a light inextensible string are at the opposite points of horizontal diameter of a smooth semi cylindrical surface of radius R. If `m_1` is released, find its speed at any angular distance `theta` moved by `m_2`.

Two beads of masses m_(1) and m_(2) connected by an inextensible string are kept at rest at the horizontal diametrical points of a fixed smooth vertical semicircular tube. If the beads are released from the given position, find their speeds as the function of vertical distance y converted by mass m_(2).

Two beads of masses m_(1) and m_(2) connected by an inextensible string are kept at rest at the horizontal diametrical points of a fixed smooth vertical semicircular tube. If the beads are released from the given position, find their speeds as the function of vertical distance y converted by miss m_(2).

Two beads of masses m_(1) and m_(2) connected by an inextensible string are kept at rest at the horizontal diametrical points of a fixed smooth vertical semicircular tube. If the beads are released from the given position, find their speeds as the function of vertical distance y converted by miss m_(2).

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two blocks of mass m_(1)"and"m_(2) are connected by light inextensible string passing over a smooth fixed pulleuy of negligible mass. The acceleration of the centre of mass of the system when blocks move under gravity is :

Two masses m_(1) and m_(2) are connected by light inextensible string passing over a smooth pulley P . If the pulley moves vertically upwards with an acceleration equal to g then .

Two smooth blocks of masses m and m' connected by a light inextensible strings are moving on a smooth wedge of mass M. If a force F acts on the wedge the blocks do not slide relative to the wedge. Find the (a) acceleration of the wedge and (b) value of F.

Two smooth blocks of masses m and m' connected by a light inextensible strings are moving on a smooth wedge of mass M. If a force F acts on the wedge the blocks do not slide relative to the wedge. Find the (a) acceleration of the wedge and (b) value of F.

Two smooth blocks of masses m and m' connected by a light inextensible strings are moving on a smooth wedge of mass M. If a force F acts on the wedge the blocks do not slide relative to the wedge. Find the (a) acceleration of the wedge and (b) value of F.