In the arrangement as shown, `m_(B)=3m`, density of liquid is `rho` and density of block `B` is `2rho`. The system is released from rest so that block `B` moves up when in liquid and moves down when out of liquid with the same acceleration. Find the mass of block `A`.

In the arrangement shown in the figure (m_(A))/(m_(B))=(2)/(3) and the ratio of density of block B and the liquid is 2:1 The system is released from rest. Then

What is the pressure energy of a liquid of mass m and density rho ?

If the blocks A and B are moving towards each other with accelerations a and b shown in fig. find the net acceleration of block C.

Blocks A and B shown in the figure are having equal masses m. The system is released from rest with the spring unstretched. The string between A and ground is cut, when there is maximum extension in the spring. The acceleration of centre of mass of the two blocks at this instant is

Given the setup shown in Fig Block A, B and C have masses m_(A)= M and m_(B) =m_(C) = m . The strings are assumed maseless and unstreichable, and the pulleys frictionless .There is no friction between block B and the support table, but there is friction between blocks B and C , denoted by a given coefficient mu a . In terms the given find (i) the acceleration of block A and B b. Suppose the system is released from rest with block C near the right end of block B as shown in the above figure. If the the length L of block B is given, what is the speed of block C as it reached the left end of block B ? Tear the size of C as small c. If the mass of block A is less then some critical value, the blocks will not accelerate when released from rest. Write down as expression for that critical mass.

In the arrangement shown, the blocks of unequal masses are held at rest. When released, acceleration of the blocks is

The acceleration of 3 kg block in the arrangement shown in the diagram ,when the given system is released from rest is

The block shown in figure is released from rest. Find out the speed of the block when the spring is compressed by 1 m

In the system shown in fig., m_(A)=4m , m_(B)=3m , and m_(c)=8m . Friction is absent everywhere. String is inextensible and light. If the system is released from rest, then Acceleration of Block B is

In the system shown in fig., m_(A)=4m , m_(B)=3m , and m_(c)=8m . Friction is absent everywhere. String is inextensible and light. If the system is released from rest, then Acceleration of block C is