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Function x=Asin^(2)omegat+Bcos^(2)omegat...

Function `x=Asin^(2)omegat+Bcos^(2)omegat+Csinomegat cos omegat` represents simple harmonic motion,

A

For any value of A, B and C (except C=0)

B

If `A=-B`,`C=2B`, amplitude =|Bsqrt2|

C

If `A=B,C=0`

D

If `A=B,C=2B`,amplitude =|B|

Text Solution

Verified by Experts

The correct Answer is:
BD
For A=-B and C=2B
`X=Bcos2omegat+Bsin2omegat` =`sqrt2Bsin(2omegat+(pi)/(4))`
This is equation of SHM of amplitude `sqrt2B`
If A=B and C=2B, then `X=B+B sin2omegat`
This also equation of SHM about the point X=B. Function oscillates between X=0 and X=2B with amplitude B.
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