Two masses, \(m_y = 32\,\text{kg}\) and \(m_z = 38\,\text{kg}\), are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder of radius \(R = 0.311\,\text{m}\) and mass \(3.1\,\text{kg}\). Initially, \(m_y\) is on the ground and \(m_z\) rests \(2.5\,\text{m}\) above the ground.