A mass m = 5.1 kg rests on a frictionless table. It is connected by a...

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A mass m = 5.1 kg rests on a frictionless table. It is connected by a massless and frictionless pulley to a second mass m2 = 2.7 kg that hangs freely. m Figure 1: m (a) Draw and label all forces acting on blocks 1 and 2. (3pt) (b) What is the magnitude of the acceleration of block 1? What is the tension in the string? (5pt) m. Figure 2: m (c) Now the table is tilted at an angle of = 25 with respect to the horizontal (see Figure 2). Find the magnitude of the new acceleration of block 1. (5pt) (d) At what "critical" angle, Ocritical, will the blocks NOT accelerate at all? (2pt) (e) Now the angle is increased past the critical angle so the system accelerates in the opposite direction. If 0 = 67, find the magnitude of the acceleration. (2pt) (f) Calculate and compare the tension in the string in each of the above cases on the in- cline. (3pt) A mass m = 5.1 kg rests on a frictionless table. It is connected by a massless and frictionless pulley to a second mass m2 = 2.7 kg that hangs freely. m Figure 1: m (a) Draw and label all forces acting on blocks 1 and 2. (3pt) (b) What is the magnitude of the acceleration of block 1? What is the tension in the string? (5pt) m. Figure 2: m (c) Now the table is tilted at an angle of = 25 with respect to the horizontal (see Figure 2). Find the magnitude of the new acceleration of block 1. (5pt) (d) At what "critical" angle, Ocritical, will the blocks NOT accelerate at all? (2pt) (e) Now the angle is increased past the critical angle so the system accelerates in the opposite direction. If 0 = 67, find the magnitude of the acceleration. (2pt) (f) Calculate and compare the tension in the string in each of the above cases on the in- cline. (3pt)