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The resultant amplitude due to superposi...

The resultant amplitude due to superposition of three simple harmonic motions `x_(1) = 3sin omega t`,
`x_(2) = 5sin (omega t + 37^(@))` and `x_(3) = - 15cos omega t` is

A

17

B

21

C

13

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`x_(1)=sin omegat,x_(2)=5 sin ( omegat+37^(@))`
`x_(3)=15 sin ( omegat-pi//2)`
By the phasor diagram `,`

Get the resultant of these 3 vectors as 13.
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