ch15-p026 - 26. We wish to find the effective spring...

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26. We wish to find the effective spring constant for the combination of springs shown in the figure. We do this by finding the magnitude F of the force exerted on the mass when the total elongation of the springs is Δ x . Then k eff = F / Δ x . Suppose the left-hand spring is elongated by Δ x A and the right-hand spring is elongated by Δ x r . The left-hand spring exerts a force of magnitude k x Δ A on the right-hand spring and the right-hand spring exerts a force of magnitude k Δ x r on the left-hand spring. By Newton’s third law these must be equal, so ΔΔ x x r A = . The two elongations must be the same and the total elongation is
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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