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 1/2 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