Problem $6(.../25$ pts$)$

Two blocks of masses $m_1=15kg$ and $m_2=20kg$ are connected by a string of negligible mass passing over a pul of radius $0\mathrm{.}250$ m and moment of inertia I as shown in the figure below. The block on the frictionless incline of $37$ is moving up with a constant acceleration of $2\mathrm{.}00\frac{m}{s^2}.$

a$)$ Find the magnitude of the pulley's angular acceleration in $ra\frac{d}{s^2}.$

c$)$ Determine $T_1$ and $T_2,$ the tensions in the two parts of the strings

d$)$ Draw the forces acting on the pulley and find its moment of inertia.