All Problems

Mechanical Oscillations

Problem 4.24

Determine the period of small longitudinal oscillations of a body with mass \(m\) in the system shown in Fig. \(4.3 .\) The stiffness values of the springs are \(x_{1}\) and \(x_{2} .\) The friction and the masses of the springs are negligible.

Reveal Answer
T=2πm/(x1+x2)T=2 \pi \sqrt{m /\left(x_{1}+x_{2}\right)}