All Problems

Laws of Conservation

Problem 1.129

A system consists of two springs connected in series and having the stiffness coefficients \(k_{1}\) and \(k_{2}\). Find the minimum work to be performed in order to stretch this system by \(\Delta l\).

Reveal Answer
 1.129. Amin⁡=1/2k(Δl)2 where k=k1k2/(k1+k2)\begin{array}{c} \text { 1.129. } A_{\min }=1 / 2 k(\Delta l)^{2} \\ \text { where } k=k_{1} k_{2} /\left(k_{1}+k_{2}\right) \end{array}
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