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A particle is acted simultaneously by mutally perpendicular simple harmonic motion `x=acosomegat` and `y=asinomegat`. The trajectory of motion of the particle will beA. an ellipesB. a parabolaC. a circleD. a straight line |
Answer» Given, `x=acosomegat…..(i)` `y=asinomegat.....(ii)` Squaring and adding Eqs. (i) and (ii), `x^(2)+y^(2)=a^(2)` `(cos^(2)omegat+sin^(2)omegat)` `=a^(2)rArrx^(2)+y^(2)=a^(2)` `[:.cos^(2)omegat+sinomegat=1]` This is the equation, of a circle Clearly, the locus is a circle of constant radius a. |
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