Find the sum of two harmonic motions of equal amplitude but of slightly different frequencies. Discuss the beating phenomena that result from this sum.

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Find the sum of two harmonic motions of equal amplitude but of slightly different frequencies. Discuss the beating phenomena that result from this sum.




Answered Same DayDec 25, 2021

Answer To: Find the sum of two harmonic motions of equal amplitude but of slightly different frequencies....

David answered on Dec 25 2021
117 Votes
Let the two harmonic motions are represented by the equations Y1 = A sin w1t and Y2 = A sinw2t
W1= 2π f1 and w2 = 2π f2
Where w1 and w2 are the angular frequencies of the two motions and A is their amplitude.
And f1 and f2 are the frequencies of two motions.
The sum of two motions will give the resultant motion when the two individual motions interfere each
other.
Let the resultant motion is represented by Y then Y = A sin w1 t + A sin w2t
Y = A[ sin w1t...
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