Simple harmonic motion
Question
A particle is superposed with three SHMs simultaneously, in the same direction. Their time periods are 2 s, 3 s, 4s respectively. Then the time period of the resultant periodic motion is
Moderate
Solution
Since, individual motions are periodic, by Fourier theorem, resultant motion is also periodic. LCM of 2, 3 and 4 is 12. So, resultant motion has a time period = 12 s
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