FYKOS Year 32 Series 2 Problem 5 — bird on the pulley · FYKOS 32 #32.2.5
Physics · mechanics
Problem
A fixed pulley is attached to the ceiling and a rope hangs over it, so the left and right end are at the same height. On one end of the rope hangs a Fykosak bird and on the other end hangs a mass, both equally heavy. Describe what happens with the system when the bird starts climbing up (on his own side of rope) with a constant force. In the beginning, assume that the rope is weightless and the pulley is ideal. Afterwards, solve this problem for a real pulley with the following parameters, its length l, the moment of inertia of the pulley I and pulley's radius r. The rope's mass per unit length is λ. Assume that the rope doesn’t slip on the pulley.