In figure, an inextensible string that connects two bodies of mass M and `m`, passing over a fixed smooth pulley. The body M slides along a smooth vertical rigid bar. If the body M is released from the given position, find the maximum distance raised by body `m`.

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).

A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. If the body is released from rest and the spring is released, calculate the maximum elongation of the spring.

A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. If the body is released from rest and the spring is released, calculate the maximum elongation of the spring.

Two bodies of masses m and M are attached to the two ends of a light string passing over a fixed ideal pulley (M gt gt m) . When the bodies are in motion, the tension in the string is approximately

A ring of mass m = 0.3kg can slide freely on smooth vertical rod. A light and inextensible string is connected to the ring and passes over a smooth and fixed pulley as shown in the figure. The distance of the pulley from the rod is 0.8m and the other end of the string is connected to a block of mass M = 0.5kg. The ring is held in level with pulley and then released from rest. The distance by which the ring moves down before coming to rest for the first time is 0.75K. Find K.