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 tension in the string that is attached to mass m₁?

A) 20.8 N
B) 27.4 N
C) 30.2 N
D) 37.4 N
E) 43.5 N