What are some common pulley problems in physics and how can they be solved?

Common pulley problems in physics include issues with friction, tension, and the mechanical advantage of the pulley system. These problems can be solved by analyzing the forces acting on the pulley, using equations of motion to calculate the acceleration and tension in the system, and applying principles of mechanical advantage to determine the efficiency of the pulley setup. Additionally, reducing friction by using lubricants or smoother surfaces can help improve the performance of the pulley system.