Two masses $(m_1=22\mathrm{.}0-kg$ and $m_2=33\mathrm{.}0-kg)$ are connected by a thin, massless rod of length $5\mathrm{.}00$ m $.$ A torque of $45\mathrm{.}0N*m$ is applied for $10\mathrm{.}0$ seconds on an axis perpendicular to the page through a point that is $2\mathrm{.}00$ m from $m_1$

a$.$ Calculate the mass moment of inertia for the system about the axis. $($Include units.$)$

b$.$ Calculate the angular acceleration of the rod, in rad $\frac{?}{s^2}.$

c$.$ Find the final angular velocity of the rod, in rad$/$s$.($It is initially at rest.$)$

d$.$ Find the final linear speeds of $m_1$ and $m_2,$ in $\frac{m}{s}.$