FYKOS Year 34 Series 6 Problem 2 — rotating pendulum · FYKOS 34 #34.6.2

Physics · mechanics · electromagnetism

Problem

Let us have a mathematical pendulum of length

l

with a point mass

m

in a gravitational field with the acceleration

g

. We give the pendulum a constant angular velocity

\omega

about the vertical axis. Determine the stable positions of the pendulum (expressed as a function of the angle between the pendulum and the vertical).