Classical Mechanics (Kibble & Berkshire) · Problem 11.13
Lagrange's equations and conservation principles — T.W.B. Kibble, F.H. Berkshire
Physics — Mechanics · disk-bug-highest-point
Problem
A circular disk of mass M and radius a is smoothly pivoted about its axis of symmetry which is fixed in a horizontal position. A bug of mass m runs with constant speed u around the rim of the disk. Initially the disk is held at rest and is released when the bug reaches its lowest point. What is the condition that the bug will reach the highest point of the disk?