Simple harmonic motion
Question
A particle is superposed with two SHMs simultaneously, in the same direction. One has a time period 4 s and the other has a time period 5 s. What is the time period of the resultant periodic motion?
Moderate
Solution
Since, individual motions are periodic, by Fourier theorem, resultant motion is also periodic. LCM of 4 and 5 is 20. So, resultant motion has a time period = 20 s.
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