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A Mass M1 Is Connected by a Light String That

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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 horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR2. If m1 is 4.00 kg, m2 is 4.00 kg, and M is 4.00 kg, then what is the downward 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 horizontal surface as shown in the figure. There is no slippage between the string and the pulley. The pulley has a radius of 25.0 cm and a moment of inertia of ½ MR<sup>2</sup>. If m<sub>1</sub> is 4.00 kg, m<sub>2</sub> is 4.00 kg, and M is 4.00 kg, then what is the downward acceleration of m<sub>1</sub>?   A)  4.42 m/s<sup>2</sup> B)  3.92 m/s<sup>2</sup> C)  3.42 m/s<sup>2</sup> D)  3.04 m/s<sup>2</sup> E)  2.96 m/s<sup>2</sup>

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