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Mechanical Oscillations

Problem 4.36

A body of mass mm was suspended by a non-stretched spring, and then set free without push. The stiffness of the spring is xx. Neglecting the mass of the spring, find: (a) the law of motion y(t),y(t), where yy is the displacement of the body from the equilibrium position; (b) the maximum and minimum tensions of the spring in the process of motion.

Reveal Answer
4.36. (a) y=(1−cos⁡ωt)mg/x,y=(1-\cos \omega t) m g / x, where ω=x/m\omega=\sqrt{x / m} (b) Tmax⁡=T_{\max }= =2mg,Tmin⁡=0=2 m g, \quad T_{\min }=0
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