All Problems

Mechanical Oscillations

Problem 4.57

A solid uniform cylinder of mass \(m\) performs small oscillations due to the action of two springs whose combined stiffness is equal to \(x\) (Fig. 4.18). Find the period of these oscillations in the absence of sliding.

Reveal Answer
T=π3m/2xT=\pi \sqrt{3 m / 2 x}