All Problems

Mechanical Oscillations

Problem 4.52

A thin uniform plate shaped as an equilateral triangle with a height \(h\) performs small oscillations about the horizontal axis coinciding with one of its sides. Find the oscillation period and the reduced length of the given pendulum.

Reveal Answer
T=π2h/g,lred=h/2T=\pi \sqrt{2 h / g}, l_{r e d}=h / 2