(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. [60 pts total] As shown in Figure 2. three masses in .. m2 and in: are released from rest simultaneously. Mass m] is suspended vertically by Rope 1 and Rope 2. Rope 1 is draped over a pulley and is attached to mass m. which is on a frictionless incline of angle 01. Rope 2 is draped over a second pulleyr and is attached to mass m; which is on another frictionless incline of angle fly. The force of gravity acts vertically downward. Assume that in: is large enough so that it accelerates downward as m. accelerates up its incline and m2 accelerates up its incline all while the two ropes remain taut. Figure 2. Diagram for Problem 2. a. (10 pts 1 Draw a proper free-body diagram form. taking the positive direction for its x-coordinate upward along its incline. Create appropriate variables as necessary. I). (10 pts I Draw a proper free-body diagram for my taking the positive direction {or its x-coordinate upward along its incline. Create appropriate variables as necessary. [Newton's First, Second and Third Laws, FreeBody Diagrams, Some particular Forces: Gravitational Force, Weight. Normal Force, Friction, Tension, Applying Newton's Laws] c. (lpts :l Draw a proper free-body diagram for n13 taking the positive direction for its y-coordinate vertically downward. Create appropriate variables as necessary. ll. (30 pts] Starting with the appropriate laws of physics for each body, derive an equation for the common acceleration a of all masses. Express your equation for acceleration a as a function of m1, m2, mg, (31, 02 andg 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