Two springs in series support weight \(W\), as shown in Figure 2.62. If these springs are replaced by a single spring, find the equivalent stiffness as well as the period of oscillation. The solution is

\[ k=\frac{k_{1} k_{2}}{k_{1}+k_{2}}, \quad T=2 \pi \sqrt{\frac{W\left(k_{1}+k_{2}\right)}{g k_{1} k_{2}}} \]

Transcribed Image Text:

Heelle celle k elllllllll W W Figure 2.62: Two springs in series on left, and equivalent spring on right. k