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 $m_{2}$ 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 $25.0 \mathrm{~cm}$ and a moment of inertia of $1 / 2 \mathrm{MR}^{2}$ . If $\mathrm{m}_{1}$ is $2.00 \mathrm{~kg}, \mathrm{~m}_{2}$ is $1.00 \mathrm{~kg}, \mathrm{M}$ is $4.00 \mathrm{~kg}$ , and the angle is 60.0 degrees, then what is the acceleration of $m_{1}$ ?

A) $3.27 \mathrm{~m} / \mathrm{s}^{2}$ down
B) $2.94 \mathrm{~m} / \mathrm{s}^{2}$ down
C) $1.64 \mathrm{~m} / \mathrm{s}^{2}$ down
D) $3.98 \mathrm{~m} / \mathrm{s}^{2}$ down
E) $3.15 \mathrm{~m} / \mathrm{s}^{2}$ down