FYKOS Year 25 Series 3 Problem 1 — Watt's regulator · FYKOS 25 #25.3.1
Physics · mechanics
Problem
On attached picture you can see a system consisting of two heavy balls attached to a joint using two rigid rods. Assume that the motion of the balls is constrained to a certain vertical plane. The whole system starts to rotate around a vertical axis passing through the joint. How does the angle α depend on the angular velocity of the system ω?