All Problems

Mechanical Oscillations

Problem 4.78

A uniform disc of radius \(R=13 \mathrm{~cm}\) can rotate about a horizontal axis perpendicular to its plane and passing through the edge of the disc. Find the period of small oscillations of that disc if the logarithmic damping decrement is equal to \(\lambda=1.00\).

Reveal Answer
T=3/2(4π2+λ2)R/g=0.9 sT=\sqrt{3 / 2\left(4 \pi^{2}+\lambda^{2}\right) R / g}=0.9 \mathrm{~s}