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 $30.0 \mathrm{~cm}$ and a moment of inertia of $\mathrm{MR}^{2}$ . If $\mathrm{m}_{1}$ is $4.00 \mathrm{~kg}, \mathrm{~m}_{2}$ is $4.00 \mathrm{~kg}, \mathrm{M}$ is $4.00 \mathrm{~kg}$ , and the angle is 70.0 degrees, then what is the acceleration of $m_{1}$ ?

A) $2.15 \mathrm{~m} / \mathrm{s}^{2}$ down
B) $3.10 \mathrm{~m} / \mathrm{s}^{2}$ down
C) $2.43 \mathrm{~m} / \mathrm{s}^{2}$ down
D) $2.89 \mathrm{~m} / \mathrm{s}^{2}$ down
E) $1.49 \mathrm{~m} / \mathrm{s}^{2}$ down