Derivation Challenge:
A hoop is released from rest on the top of a ramp of height 4L and width 3L. The hoop rolls down the ramp without slipping and continues rolling with constant speed over a length 7L of flat ground. Eventually the hoop hits and sticks to a pendulum of length 9L/๐2 and reaches a maximum height at point P. Show that the total time between the hoop being released and the pendulum reaching point P is the following, (+3% on Test 8)