A smooth of mass `m_(1)` is lying on a rigid horizontal string A bob of mass `m_(2)` hangs from, the ring by an inextensible light string of length `l`. Find angular frequency of oscillation of the system.

A loop of mass M with two identical rings of mass m at its top hangs from a ceiling by an inextensible string. If the rings gently pushed horizontally in opposite directions, find the angular distance covered by each ring when the tension in the string vanishes for once during their motion.

A block of mass m_(1)=2 kg is kept on a smooth horizontal table. Another block of mass m_(2)=1 kg is connected to m_(1) by a light inextensible string passing over a smooth pulley as shown in the figure. If the blocks are released, what will be the (a) acceleration of each block (b) tension in the string?

A block of mass m_(1)=2 kg is kept on a smooth horizontal table. Another block of mass m_(2)=1 kg is connected to m_(1) by a light inextensible string passing over a smooth pulley as shown in the figure. If the blocks are released, what will be the (a) acceleration of each block (b) tension in the string?

A loop of mass M with two identical rings of mass 3/2 M each at its top hangs from a ceiling by an inextensible string. If the rings gently pushed horizontally in opposite directions, find the angular distance covered by each ring when the tension in the string vanishes for once during their motion.

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

A block of mass m hangs by means of a string which goes over a pulley of mass m and moment of inertia l, as shown in the diagram. The string does not realtive to the pulley. Find the frequency of small oscillations.