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The motion of a particle varies with tim...

The motion of a particle varies with time according to the relation `y=a (sinomegat + cos omegat)` ,then

A

the motion is oscillatory but not SHM

B

the motion is SHM with amplitude a

C

the motion is SHM with amplitude `sqrt2a`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`y=a sin omegat+a cos omegat+a sin(omegat+(pi)/(2))`
The resultant motion is SHM but resultant amplitude is
`A=sqrt(a^(2)+a^(2)+2a^(2)cos .(pi)/(2))=sqrt(2a)`
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