Figure-2.107 shows a block of mass m attached to a spring of force constant k and connected to ground by two string of equal lengths making an angle `90^(@)` with each other. In relaxed state natural length of the spring is l. In the situation shown in figure, find the tensions in the two strings.

A block of mass 'm' is attached to the light spring of force constant K and released when it is in its natural length. Find amplitude of subsequent oscillations.

Figure-2.109 shows a block A on a smooth surface attached with a spring of force constant k to the ceiling. In this state spring is in its natural lengthl. The block A is connected with a massless and frictionless string to another identical mass B hanging over a light and smooth pulley. Find the distance moved by A before it leaves contact with the ground

A uniform rod of length l and mass m is hung from, strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?

Two equal masses are attached to the two end of a spring of force constant k the masses are pulled out symmetrically to stretch the spring by a length 2x_(0) over its natural length. Find the work done by the spring on each mass.

Block of mass 2 m is given v_(0) towards the right. If L is the natural length of spring constant k , find the maximum elongation of the spring.

Two particles of mass m and 2m are connected by a string of length L and placed at rest over a smooth horizontal surface. The particles are then given velocities as indicated in the figure shown. The tension developed in the string will be

Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is