A Block 'A' is placed on a smooth horizontal surface and particle C is suspended with the help of light rod from point B of the block as shown. Now both the block A and the particle C are given velocity `v_(0)` towards left. The block A strikes a fixed wall and suddenly stops. Then, (The rod BC is free to rotate about B)

If A block is dragged on a smooth horizontal plane with the help of a light rope which moves with a velocity v as given in the figure .Then find the horizontal velocity of the block .

A block A of mass M is placed in contact with a fixed spring of length l and force constant k and free from a smooth wall at a distance l on the other side. If the block is given a velocity v as shown, the time taken by the block to strike on the wall will be

A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) block A is given a velocity v_(0) towards right. Accelration of B relative to A is

A triangular block ABC of mass m and side 2a lies on a smooth horizontal plane is shown. There point masses of the m each strikes the block at A, B and C with speed as shown. After the collision the particle come to rest. Then

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

A long block A is at rest on a smooth horizontal surface. A small block B whose mass is half of mass of A is placed on A at one end and is given an initial velocity u as shown in figure. The coefficient of friction between the blocks is mu .

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Taking friction to be absent every where the magnitude of tension in the string connecting block B and block C is

In the system shown, the block A is moving down eith velocity v_(1) and C is moving up with velocity v_(3) . Express velocity of the block B in terms of velocities of the blocks a and C.

A block A of mass m is over a plank B of mass 2m . Plank B si placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) . Blocks A is given a velocity V_(0) towards right. Then