Intro to Springs (Hooke's Law) Video Lessons

Concept

# Problem: Two springs with spring constants k1 and k2 are connected in series. What is the effective spring constant keff? In other words, if the mass is displaced by x, find the keff for which the force equals F = -(keff)x.

###### FREE Expert Solution

Hooke's law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{-}}{\mathbf{k}}{\mathbf{x}}}$

The two springs experience equal force

F = -k1x1 → x1 = -F/k1

F2 = -k2x2 → x2 = -F/k2

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###### Problem Details

Two springs with spring constants k1 and k2 are connected in series. What is the effective spring constant keff? In other words, if the mass is displaced by x, find the keff for which the force equals F = -(keff)x.