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A Mass m1m_{1} Is Connected by a Light String That Passes Over a Passes

Question 47

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A mass m1m_{1} is connected by a light string that passes over a pulley of mass MM to a mass m2m_{2} 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 cm30.0 \mathrm{~cm} and a moment of inertia of MR2\mathrm{MR}^{2} . If m1\mathrm{m}_{1} is 4.00 kg, m24.00 \mathrm{~kg}, \mathrm{~m}_{2} is 4.00 kg,M4.00 \mathrm{~kg}, \mathrm{M} is 4.00 kg4.00 \mathrm{~kg} , and the angle is 70.0 degrees, then what is the acceleration of m1m_{1} ?
 A mass  m_{1}  is connected by a light string that passes over a pulley of mass  M  to a mass  m_{2}  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 \mathrm{~cm}  and a moment of inertia of  \mathrm{MR}^{2} . If  \mathrm{m}_{1}  is  4.00 \mathrm{~kg}, \mathrm{~m}_{2}  is  4.00 \mathrm{~kg}, \mathrm{M}  is  4.00 \mathrm{~kg} , and the angle is 70.0 degrees, then what is the acceleration of  m_{1}  ?   A)   2.15 \mathrm{~m} / \mathrm{s}^{2}  down B)   3.10 \mathrm{~m} / \mathrm{s}^{2}  down C)   2.43 \mathrm{~m} / \mathrm{s}^{2}  down D)   2.89 \mathrm{~m} / \mathrm{s}^{2}  down E)   1.49 \mathrm{~m} / \mathrm{s}^{2}  down


A) 2.15 m/s22.15 \mathrm{~m} / \mathrm{s}^{2} down
B) 3.10 m/s23.10 \mathrm{~m} / \mathrm{s}^{2} down
C) 2.43 m/s22.43 \mathrm{~m} / \mathrm{s}^{2} down
D) 2.89 m/s22.89 \mathrm{~m} / \mathrm{s}^{2} down
E) 1.49 m/s21.49 \mathrm{~m} / \mathrm{s}^{2} down

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