All Problems Mechanical Oscillations
Problem 4.36
A body of mass \(m\) was suspended by a non-stretched spring, and then set free without push. The stiffness of the spring is \(x\). Neglecting the mass of the spring, find: (a) the law of motion \(y(t),\) where \(y\) is the displacement of the body from the equilibrium position; (b) the maximum and minimum tensions of the spring in the process of motion.
4.36. (a) \(y=(1-\cos \omega t) m g / x,\) where \(\omega=\sqrt{x / m}\) (b) \(T_{\max }=\) \(=2 m g, \quad T_{\min }=0\)