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.

As shown in the figure, two light springs of force constant k_(1) and k_(2) oscillate a block of mass m. Its effective force constant will be

In the arrangement shown, find the acceleration of each block, tension in the string and reaction in the pulley. The string and pulley are light (massless) (m_(1)gtm_(2)) . Neglect the friction in pulley.

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 adjoining figure, block A is of mass (m) and block B is of mass2 m. The spring has force constant k. All the surfaces are smooth and the system is released form rest with spring unstretched. .

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

In the arrangement shown in fig., all pulleys are smooth and massless. When the system is released from the rest, acceleration of block 2 and 3 relative to 1 are 1 ms^(-2) downwards and 5ms^(-2) downwards, respectively. Acceleration of block 3 relative to 4 is zero. Find the absolute acceleration of block 1.

In the arrangement shown in fig., all pulleys are smooth and massless. When the system is released from the rest, acceleration of block 2 and 3 relative to 1 are 1 ms^(-2) downwards and 5ms^(-2) downwards, respectively. Acceleration of block 3 relative to 4 is zero. Find the absoulte acceleration of block 2.

In the arrangement shown in fig., all pulleys are smooth and massless. When the system is released from the rest, acceleration of block 2 and 3 relative to 1 are 1 ms^(-2) downwards and 5ms^(-2) downwards, respectively. Acceleration of block 3 relative to 4 is zero. Find the absoulte acceleration of block 4.

In the arrangement shown in fig., all pulleys are smooth and massless. When the system is released from the rest, acceleration of block 2 and 3 relative to 1 are 1 ms^(-2) downwards and 5ms^(-2) downwards, respectively. Acceleration of block 3 relative to 4 is zero. Find the absoulte acceleration of block 3.

Figure shows a system consisting of pulley having radius R, a spring of force constant k and a block of mass m. Find the period of its vertical oscillation.