Two blocks masses m and 2m are held in equilibrium on a frictionless incline as

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Two blocks masses m and 2m are held in equilibrium on a frictionless incline as in Figure P4.27. In terms of m and theta , find (a) the magnitude of the tension T_1 in the upper cord and the magnitude of the tension T_2 in the lower cord connecting the two blocks. Two packing crates of masses 10.0 kg and 5.00 kg are connected by a light string that passes over a friction-less pulley as in Figure P4.28. The 5.00-kg crate lies on a smooth incline of angle 40.0 degree . Find (a) the acceleration of the 5.00-kg crate and (b) the tension in the string. Figure P4.28 Assume the three blocks portrayed in Figure P4.29 move on a frictionless surface and a 42-N force acts as shown on the 3.0-kg block. Determine (a) the acceleration given this system, (b) the tension in the cord connecting the 3.0-kg and the 1.0-kg blocks, and (c) the force exerted by the 1.0-kg block on the 2.0-kg block.

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