Halliday, Resnick & Walker — Oscillations: Problem Problem_108

A uniform bar with mass \(m\) lies symmetrically across two rapidly rotating, fixed rollers, \(A\) and \(B\), with distance \(L = 2.0 \text{ cm}\) between the bar’s center of mass and each roller. The rollers, whose directions of rotations are shown in the figure, slip against the bar with coefficient of kinetic friction \(\mu_k = 0.40\). If the bar is displaced horizontally by distance \(x\) and then released, it oscillates left and right in simple harmonic motion. What are (a) the angular frequency \(\omega\) and (b) the period \(T\)?