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Which of the following functions represent SHM : sin omega t+ cos 2 omega t |
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Answer» Solution :A motion will be SHM if acceleration is directely PROPORTIONAL to its DISPLACEMENT `a=- omega^(2)y` `y= sin omegat+cos 2 omegat` `(dy)/(dt)=omega cos omegat-2 omega sin 2 omegat` `(d^(2)y)/(dt^(2))=- omega^(2)sin omegat-4omega^(2)cos omegat` `=- omega^(2)(sin omegat+4 cos omegat)` `(d^(2)y)/(dt^(2))` not proportional to -y Hence, Oscillatory but not SHM. |
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