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  1. A 2 k g block is placed over a 4 k g block and both are placed on a smooth horizontal surface. The coefficient of friction between the blocks is 0 − 20. Find the acceleration of the two blocks if a horizontal force of 12 N is applied to (a) the upper block, (b) the lower block. Take g = 10 m / s 2.

  2. Block B moves to the right with a constant velocity v 0. Assuming the pulleys and the surface to be smooth and the string to be inextensible, the velocity of block A relative to block B is View Solution

  3. Block B has mass m and is released from rest when it is on top of wedge A, which has a mass 3m. Determine the tension in cord CD needed to hold the wedge from moving while B is sliding down A. Neglect friction.

  4. Two blocks A and B of masses 1 kg each, are lying on a smooth horizontal surface. A spring of force constant k = 200 N/m is fixed at one end of the block A. Block B collides with block A with an initial velocity of v = 2.0 m/s. Find the maximum compression in the spring.

  5. If block A starts from rest at t = 0 & begins to move towards right with an acceleration of 2 m / s 2 & simultaneously bolck C moves towards right with constant velocity of 4 m / s. Speed of block B at t = 5 s will be

  6. Strings connecting masses A and B with the pulleys are horizontal and all pulleys and strings are light. Friction coefficient between the surface and the block B is 0.2 and between blocks A and B is 0.7. The system is released from rest. Use (g = 10 m/s 2). Find the magnitude of frictional force (in N) between block A and B.

  7. The free-body diagrams for block B and for the knot just above block A are shown below. $$\vec{T_1}$$ is the tension force of the rope pulling on block B or pulling on the knot (as the case maybe), $$\vec{T_2}$$ is the tension force exerted by the second rope (at angle $$\theta = 30^\circ$$) on the knot, $$\vec f$$ is the force of static ...

  8. Block A and B are resting on a smooth horizontal surface given equal speeds of 2 m / s in opposite sense as shown in the figure. At t = 0, the position of block are shown, then the coordinates of center of mass at t = 3 s will be : (1, 0) (3, 0) (5, 0) (2.25, 0)

  9. The block B has a mass of 10 kg. The coefficient of friction between block B and the surface is μ = 0.5. Determine the acceleration of the block A of mass 16 kg. Neglect the mass of the pulleys and cords. (Take g = 10 m/s 2).

  10. Find its velocity after 10 s. A prticle of mass m moves with velocity v0 = 20 m/s towards a large wall that is moving with velocity v =5 m/s towards the particle as shown. If the particle collides with the wall elastically, then find the speed of the particle just after collision. (Assume collision with the wall is elastic) In the figure shown ...