(Newton's First. Second and Third Laws. Free -Body Diagrams. Some particular Forces: Gravitational Force. Weight. Normal Force. Friction. Tension, Applying Newton's laws] 2. [50 pts total] Three masses m1, m2 and I113 are released from rest simultaneously. The masses 1:12 and m; are connected to each other with a taut and massless rope. Rope B, which is guided over a massless and frictionless pulley. The masses ml and in; are connected to each other with a second taut and massless rope. Rope A. which is guided over a second massless and frictionless pulley. The masses. in; and nu. are on frictionless inclines of angles ()2 and (3.. respectively, while mass m. hangs vertically. as shown in Figure 2. Assume that m] will accelerate down its incline as m; will accelerate down its incline an as m. will accelerate vertically upwards all with the same acceleration a. The force of gravity acts vertically downward. Figure 2. Diagram for Problem 2. I. {10 pts l Draw a proper free-body diagram for in. taking the positive direction for its y-coordinate vertically upward. b. [10 pts I Draw a proper free-body diagram for m2 taking the positive direction lor its x-coordinate downward along its incline. c. {10 pts 1 Draw a proper treebody diagram for ma taking the positive direction for its xcoordinate downward along its incline. cl. [20 pts] Starting with the appropriate laws of physics for each body, derive an equation for the common acceleration rt of all masses. Express your equation for acceleration a as a function of m1, m2, mg. 82, 83 and 9 only. Tensions in the ropes must be eliminated from your equation. You will need to algebraically solve three equations with three unknowns. Make sure to simplify your answer by expressing it as a single fraction