Two springs are in series. You know the constants for each individual spring. How do you find the spring constant for the spring system?(adsbygoogle = window.adsbygoogle || []).push({});

|-OOOOO---o---OOOOOOOOOO-| --->F

In the middle of the spring system (where the "o" is) the net force is zero and we have

k1x1=k2x2 disregarding sign

F=k3x3

x3 =x2+x1

F=k3(x2+x1)

F=k3(k1x1/k2+x1)

F=k3*x1/k2*(k1+k2)

but F=k1x1+k2x2

F=2k1x1

2k1x1=k3*x1/k2*(k1+k2)

2k1k2=k3(k1+k2)

k3=2k1k2/(k1+k2)

Is this right?

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# Springs In Series

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