Introduction to Classical Mechanics · Problem 10.23
Relativity (Kinematics) — Morin
Physics — Mechanics · maximum-normal-force
Problem
A frictionless hoop of radius R is made to rotate at constant angular speed ω around a diameter. A bead on the hoop starts on this diameter and is then given a tiny kick. Let N be the total force that the hoop applies to the bead, and let N⊥ be the component of N that is perpendicular to the plane of the hoop. Where is N⊥ maximum? What is the magnitude of N as a function of position? (Ignore gravity in this problem.)