All Problems

Mechanical Oscillations

Problem 4.25

\(4.25 .\) Find the period of small vertical oscillations of a body with mass \(m\) in the system illustrated in Fig. \(4.4 .\) The stiffness values of the springs are \(x_{1}\) and \(x_{2}\), their masses are negligible.

Reveal Answer
T=2πVm/x, where x=x1x2/(x1+x2)T=2 \pi V \overline{m / x}, \text { where } x=x_{1} x_{2} /\left(x_{1}+x_{2}\right)