Problem 4.82

A bar of mass $m=0.50$ kg lying on a horizontal plane with a friction coefficient $k=0.10$ is attached to the wall by means of a horizontal non-deformed spring. The stiffness of the spring is equal to $x=2.45 \mathrm{~N} / \mathrm{cm},$ its mass is negligible. The bar was displaced so that the spring was stretched by $x_{0}=3.0 \mathrm{~cm},$ and then released. Find: (a) the period of oscillation of the bar; (b) the total number of oscillations that the bar performs until it stops completely.