A particle at end of a spring executes simple harmonic motion with a period t 1 , while the corresponding period of another spring is t 2 . If two springs are connected in series then time period is T

Question

A particle at end of a spring executes simple harmonic motion with a period t 1 , while the corresponding period of another spring is t 2 . If two springs are connected in series then time period is T , then which one is true?

TestHub · Accepted Answer

When springs are connected in series, 1 k eq = 1 k 1 + 1 k 2 t 1 = 2 π m k 1 and t 2 = 2 π m k 2 T = 2 π m k eq T 2 = 2 π 2 m 1 k eq T 2 = 2 π 2 m 1 k 1 + 1 k 2 T 2 = t 1 2 + t 2 2

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