Two simple harmonic motions act on a particle. These harmonic motions are x=Acos(omegat+delta),y=Acos(omegat+alpha) When delta=alpha+(pi)/(2), the resulting motion is…………..

Two simple harmonic motions act on a particle. These harmonic motions

1.	Two simple harmonic motions act on a particle. These harmonic motions are x=Acos(omegat+delta),y=Acos(omegat+alpha) When delta=alpha+(pi)/(2), the resulting motion is…………..
Answer» A circle and the actual motion is clockwise an ELLIPSE and the actual motion is COUNTER clockwise a ellipse and the actual motion is clockwise a circle and the actual motion is counter clockwise Solution :`X=Acos(omegat+alpha+(pi)/(2))=-ASIN(omegat+alpha)` `y=Acos(omegat+alpha)` Squaring and ADDING the two equations, We get `x^(2)+y^(2)=A^(2)`. This is an equation of a circle Hence the resultant motion is circular. The motion is counter clockwise.