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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

18

B

10

C

12

D

none of

Text Solution

Verified by Experts

The correct Answer is:
D
`x_(1)=3sinomegat`
`x_(2)=5sin(omegat+37^(@))`
`x_(3)=15sin(omegat+pi+(pi)/(2))`
`A_(R)=sqrt(A_(x)^(2)+A_(y)^(2))=sqrt((7)^(2)+(12)^(2))=sqrt(49+144)=sqrt(193)`
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