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A particle is acted simultaneously by mutually perpendicular simple harmonic motions x=a cos`omegat` and `y=asinomegat`. The trajectory of motion of the particle will beA. an ellipseB. a parabolaC. a circleD. a straight line. |
Answer» Correct Answer - C Given `x=acosomegat` . . . (i) `y=asinomegat` Squaring and adding (i) and (ii), we get `x^(2)+y^(2)=a^(2)cos^(2)omegat+a^(2)sin^(2)omegat=a^(2)` It is an equation of circle. Thus, trajectory of motion will be circle. |
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