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
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
Correct Answer – 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)`