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Two massless springs A and B each of length a0 have spring constants k1 and k2. Find the equivalent spring constant when they are connected in (a) series and (b) parallel as shown in Fig. 1.10 and a mass m is suspended from them.

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(a) Let x1 and x2 be the elongations in springs A and B respectively. Total elongation = x1 + x2.

If k is the equivalent spring constant of the combination (a), we have

(b) Let x be the elongation in each spring.

mg = (k1 + k2)x

If k is the equivalent spring constant of the combination (b), we have 

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