In the device shown in Fig, the block `m` is displaced down slightly and released. It starts oscillating. Pulleys are smooth and massless string and springs are also massless. Find time period of oscillations.

In the device shown in the figure, the block of mass 20 kg is displaced down slighty and released, it starts oscillating. Pulleys are smooth and massless, strings and springs are also massless. Find the time period of oscillation (K_(1) = 4 N//m, K_(2) = 4N//m)

A block of mass m is connected to three springs as shown in Fig. The block is displaced down slightly and left free, it starts oscillating. Find time period of oscillations.

In the arrangement shown in fig. pulleys are smooth and massless. Threads are massless and inextensible. Find acceleration of mass m_(1) .

Find the natural frequency of oscillation of the system as shown in figure. Pulleys are massless and frictionless. Spring and string are also massless. (Take pi^(2)=10 )

Find the natural frequency of oscillation of the system as shown in figure. Pulleys are massless and frictionless. Spring and string are also massless. (Take pi^(2)=10 )

Consider the situation as shown. Initially the spring is unstretched when the block of mass m is released from rest assuming the pulley frictionless and light the spring and string massless. Find the extension of sprinig when the block is in equilibrium also find the maximum extension of the spring.

In the arrangement shown, the pulleys and strings are massless. The acceleration of block B is :

In the arrangement shown, the pulleys and strings are massless. The acceleration of block B is :

The period of oscillation of a mass M suspended from a spring of spring constant K is T. the time period of oscillation of combined blocks is

In the arrangements as shown Mgt2m. Find the extension in the spring of forces constant K_(1) . All pulleys are smooth and massless and the blocks do not oscillates.