A pulley system consists of two blocks of mass \(5\,\text{kg}\) and \(10\,\text{kg}\), connected by a rope of negligible mass that passes over a pulley of radius \(0.1\,\text{m}\) and mass \(2\,\text{kg}\). Treat the pulley as a uniform solid disk that is free to rotate about its axis. The system is released from rest, and the block of mass \(10\,\text{kg}\) starts to move downwards. Assume the pulley has a frictional force of \(5.7\,\text{N}\) acting on the outer edge of the pulley.