Block A of mass \(m_A\) is placed on a rough inclined plane that makes an angle \(\theta\) with the horizontal. The coefficient of kinetic friction between Block A and the plane is \(\mu_k\). Block A is connected to Block B of mass \(m_B\) by a lightweight string that passes over a pulley.

The pulley is a uniform solid disk of mass \(M\) and radius \(R\), and its rotational inertia is \(I = \dfrac{1}{2} M R^2\). The pulley rotates on a frictionless axle.

The system is released from rest. Assume that \(m_B\) is sufficiently large that Block B accelerates downward and Block A accelerates up the incline. The string does not slip on the pulley.