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 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 ½ MR². If m₁ is 3.00 kg, m₂ is 6.00 kg and M is 4.00 kg, then what is the magnitude of the acceleration of the masses?

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