Springs in Series two mass less springs are connected in series when they are attached one after the other, head to tail. (a) Show that the effective force constant (see Problem 6.63) of a series combination is given by 1/kcif = 1/k1 + 1/k2. (Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination. Also, each spring must exert the same force. Do you see why?) (b) Generalize this result for N springs in series. |

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