Two parallel cylinders spin in opposite directions as shown. The distance between the center of the cylinders is \(a=1\) m . A straight uniform bar of length \(L>a\) rests on the cylinders. The coefficient of kinetic friction between the bar and a cylinder is \(\mu=0.1\). Find the period of the oscillations that result from displacing the bar from its equilibrium position, in seconds.
Use \(g=10\) m/s\(^2\).