(Solved): 5. As shown in Figure, two objects of unequal mass are hung vertically over a frictionless pulley o ...

5. As shown in Figure, two objects of unequal mass are hung vertically over a frictionless pulley of negligible mass. The metal box with mass $m_1$ is connected with the left end of a lightweight cord. On the right side, a metal ring with mass $m_2$ is connected with the same cord. If the metal ring slips down along the cord at a constant acceleration $a_2^{?}$ with respect to the cord, what acceleration will be for the metal box and the metal ring with respect to the ground? How much will the friction force between the metal ring and the lightweight cord be?