All Problems

Mechanical Oscillations

Problem 4.25

4.25.4.25 . Find the period of small vertical oscillations of a body with mass mm in the system illustrated in Fig. 4.4.4.4 . The stiffness values of the springs are x1x_{1} and x2x_{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)