Problem 4.60

Find the period of small torsional oscillations of a system consisting of two discs slipped on a thin rod with torsional coefficient $k$ . The moments of inertia of the discs relative to the rod's axis are equal to $I_{1}$ and $I_{2}$ .

T=2 \pi V \overline{I^{\prime} / k}, \text { where } I^{\prime}=I_{1} I_{2} /\left(I_{1}+I_{2}\right)

Mechanical Oscillations