All Problems

Dynamics of a solid body

Problem 1.270

A conical pendulum, a thin uniform rod of length \(l\) and mass \(m\), rotates uniformly about a vertical axis with angular velocity \(\omega\) (the upper end of the rod is hinged). Find the angle \(\theta\) between the rod and the vertical.

Reveal Answer
cosθ=3/2g/ω2l\cos \theta=3 / 2 g / \omega^{2} l