Classical Mechanics (Kibble & Berkshire) · Problem 12.13

The calculus of variations and Hamilton's principle — T.W.B. Kibble, F.H. Berkshire

Physics — Mechanics · lagrangian-mechanics-bug-on-hoop

Problem

Bug on a hoop A uniform circular hoop of mass

M

can slide freely on a smooth horizontal table, and a bug of mass

m

can run on the hoop. The system is at rest when the bug starts to run. What is the angle turned through by the hoop when the bug has completed one lap of the hoop?

Related theory

Lagrangian Mechanics

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