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A Mass M1 Is Connected by a Light String That

Question 47

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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 as shown in the figure.Both masses move vertically and there is no slippage between the string and the pulley.The pulley has a radius of 20.0 cm and a moment of inertia of 1/2 MR2.If m1 is 3.00 kg,m2 is 6.00 kg and M is 4.00 kg,then what is the acceleration of the masses? 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> as shown in the figure.Both masses move vertically and there is no slippage between the string and the pulley.The pulley has a radius of 20.0 cm and a moment of inertia of 1/2 MR<sup>2</sup>.If m<sub>1</sub> is 3.00 kg,m<sub>2</sub> is 6.00 kg and M is 4.00 kg,then what is the acceleration of the masses?   A)  5.05 m/s<sup>2</sup> B)  4.75 m/s<sup>2</sup> C)  4.05 m/s<sup>2</sup> D)  3.44 m/s<sup>2</sup> E)  2.67 m/s<sup>2</sup>


A) 5.05 m/s2
B) 4.75 m/s2
C) 4.05 m/s2
D) 3.44 m/s2
E) 2.67 m/s2

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