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A Mass M1 Is Connected by a Light String That

Question 21

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A mass m1 is connected by a light string that passes over a pulley of mass M to a mass m2 sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 30.0 cm and a moment of inertia of MR2. If m1 is 4.00 kg, m2 is 4.00 kg, M is 4.00 kg, and the angle is 70.0 degrees, then what is the acceleration of m1? A mass m<sub>1</sub> is connected by a light string that passes over a pulley of mass M to a mass m<sub>2</sub> sliding on a frictionless incline as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 30.0 cm and a moment of inertia of MR<sup>2</sup>. If m<sub>1</sub> is 4.00 kg, m<sub>2</sub> is 4.00 kg, M is 4.00 kg, and the angle is 70.0 degrees, then what is the acceleration of m<sub>1</sub>?   A)  3.10 m/s<sup>2</sup> down B)  2.89 m/s<sup>2</sup> down C)  2.43 m/s<sup>2</sup> down D)  2.15 m/s<sup>2</sup> down E)  1.49 m/s<sup>2</sup> down


A) 3.10 m/s2 down
B) 2.89 m/s2 down
C) 2.43 m/s2 down
D) 2.15 m/s2 down
E) 1.49 m/s2 down

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