All Problems

Dynamics of a solid body

Problem 1.270

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

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