Two Masses on Inclined Plane with Pulley
A mass (brown) slides along a plane inclined at the angle , attached to a pulley at the top with a mass (green) hanging down the right vertical side. The coefficient of friction is . The acceleration of the system and the tension are calculated and the position of the masses at time is shown.
Solving the equations of the system, the acceleration and tension are given by
when and moves upwards (). In the opposite case, the sign of the friction term must be changed. The system does not accelerate when .