A Mass M₁ Is Connected by a Light String That

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 25.0 cm and a moment of inertia of ½ MR². If m₁ is 2.00 kg, m₂ is 1.00 kg, M is 4.00 kg, and the angle is 60.0 degrees, then what is the acceleration of m₁?

A) 3.98 m/s² down
B) 3.27 m/s² down
C) 3.15 m/s² down
D) 2.94 m/s² down
E) 1.64 m/s² down