A large Atwood's machine is made by placing a $28$ kg mass on the left side of a pulley, and a $61$ kg mass on the right side of a pulley $($mass of pulley $=6\mathrm{.}9$ kg$,$ radius of pulley $=24\mathrm{.}5$ m$).$Assume the pulley is a uniform solid cylinder $($disk$).$

Determine the moment of inertia of the pulley. Correct

kg$$m$^2$

Find the magnitude of the acceleration of the blocks. m$/$s$^2$

Find the angular acceleration of the pulley. rad$/$s$^2$

Find the tension in the left side of the rope. N

Find the tension in the right side of the rope. N