Example 1. Person A is trying to keep his balance while on a sled B that is sliding down an icy incline. Letting mA = 78 kg and mB = 25 kg be the masses of A and B respectively, and assuming that there is enough friction between A and B for A not to slide with respect to B, determine the value of the normal reaction force between A and B as well as the magnitude of their acceleration if θ = 20∘. Friction between the sled and the incline is negligible.
![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)