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If a simple harmonic motion is given by `y=(sin omegat+cosomegat)m` Which of the following statements are true:A. Time is considered from `y=0m`B. Time is considered from `y=1m`C. The amplitude is `sqrt(2)m`D. The amplitude is `1m` |
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Answer» Correct Answer - B::C `y=sin omegat+cos omegat` `=2pi[(1)/(sqrt(2))sin omegat+(1)/(sqrt(2))cos omegat]` `=sqrt(2)[cos((pi)/(4))sin omegat+sin ((pi)/(4))cos omegat]` `=sqrt(2)sin[omegat+(pi)/(4)]` Amplitude, `a=sqrt(2)m, ` when` t=0` `y=sqrt(2)sin((pi)/(4))=sqrt(2)xx(1)/(sqrt(2))=1m` |
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