A Mass M₁ Is Connected by a Light String That

question 21

Multiple Choice

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) 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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