A Mass $m_{1}$ Is Connected by a Light String That Passes Over a Passes

Multiple Choice

A mass $m_{1}$ is connected by a light string that passes over a pulley of mass $M$ to a mass $m_{2}$ 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 $20.0 \mathrm{~cm}$ and a moment of inertia of $\frac{1}{2} \mathrm{MR}^{2}$ . If $\mathrm{m}_{1}$ is $3.00 \mathrm{~kg}, \mathrm{~m}_{2}$ is $6.00 \mathrm{~kg}$ and $\mathrm{M}$ is $4.00 \mathrm{~kg}$ , then what is the magnitude of the acceleration of the masses?

A) $2.67 \mathrm{~m} / \mathrm{s}^{2}$
B) $4.05 \mathrm{~m} / \mathrm{s}^{2}$
C) $5.05 \mathrm{~m} / \mathrm{s}^{2}$
D) $3.44 \mathrm{~m} / \mathrm{s}^{2}$
E) $4.75 \mathrm{~m} / \mathrm{s}^{2}$