L'Hopital's Pulley Problem
- gabriela sanchis
A (weightless) cable of length is attached to the ceiling at point . The other end of the cable is attached to a pulley (point ). The end of another cable of length is attached to the ceiling at point , where (). At the other end of the second cable (point ) is attached a weigh. This second cable passes over the pulley (so ), and the whole system is allowed to adjust itself to reach a state of stationary equilibrium. The question is: How far below the ceiling is the final position of the weight?
Drag the point until you find the point of equilibrium. This occurs when is as low as possible.