Two blocks A and B, of mass 4 kg and 5 kg, respectively, are connected by a cord which passes over pulleys as shown. A 4 kg collar C is placed on block A and the system is released from rest. After the blocks have moved 0.9 m, collar C is removed and blocks A and B continue to move. Determine the speed of block A just before it strikes the ground. (Round the final answer to three decimal places.) The speed of block A just before it strikes the ground is m/s.
![Two blocks A and B with masses mA = 10 kg and mB = 4 kg are connected by an inextensible cable and released from rest shown in Figure 1 (where block A is placed in position C ). The coefficients of kinetic friction between two blocks and the 30∘ inclined plane are μA = 0.1 and mB = 0.3. The cable is in tension in the entire motion and the sizes of blocks are negligible. (Take gravitational acceleration as 10 m/s2) (a) Draw separate free body diagrams of blocks A and B. Indicate clearly all the forces, directions of motion and coordinate systems. [4 marks] b) Based on the free body diagrams in part (a), establish the equations of motion for blocks A and B and determine the tension in the cable between two blocks. [12 marks] (c) Determine the time required for block A to move 2.5 m from positions C to D along the incline and the velocity of block A when it reaches position D. [4 marks] Figure 1](https://www.doubtrix.com/uploads/editor/3466504776qCVzpwjiZa.png)
