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 Fof the force exerted on the mass when the total elongation of the springs is Δx. Then keff= F/Δx. Suppose the left-hand spring is elongated by ΔxAand the right-hand spring is elongated by Δxr. The left-hand spring exerts a force of magnitude k xΔAon the right-hand spring and the right-hand spring exerts a force of magnitude kΔxron the left-hand spring. By Newton’s third law these must be equal, so ΔΔxxrA=. 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.