A particle is acted simultaneously by mutually perpendicular simple harmonic motions x = a cos ωt and y = a sin ωt. The trajectory of motion of the particle will be a) an ellipse b) a parabola c) a circle d) a straight line
Correct option is C) Given x=acosωt ......(i) y=asinωt ......(ii) Squaring and adding (i) and (ii), we get x2+y2=a2cos2ωt+a2sin2ωt=a2 It is an equation of circle. Thus, trajectory of motion will be circle.
