The displacement y of a particle executing periodic motion is given by :The expression may be consider to be a result of the superposition of independent harmonic motions :a)Fourb)Twoc)Threed)FiveCorrect answer is option 'C'. Can you explain this answer?

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The displacement y of a particle executing periodic motion is given by :

The expression may be consider to be a result of the superposition of independent harmonic motions :

a)
Four
b)
Two
c)
Three
d)
Five

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

The displacement y of a particle executing periodic motion is given by...

The given equation can be written as

y = 2(cost + 1) sin(1000t)
= 2cost sin 1000t + 2sin(1000t)
= sin(1001t) + sin(999t) + 2sin(1000t)
i.e. the given expression is a small of superposition of three independent harmonic motions of angular frequencies 999,1000 and 1001 rad/sec.
The correct answer is: Three

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The displacement y of a particle executing periodic motion is given by :The expression may be consider to be a result of the superposition of independent harmonic motions :a)Fourb)Twoc)Threed)FiveCorrect answer is option 'C'. Can you explain this answer?

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