Questions
The resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by is
detailed solution
Correct option is C
If first equation is y1 = a1 sin ωt⇒sin ωt = y1a1-------------------(i)then second equation will bey2 = a2 sin(ωt+π2)= a2[sin ωt cos π2+cos ωtsin π2] = a2 cos ωt⇒cos ωt = y2a2--------------(ii)By squaring and adding equations (i) and (ii)sin2 ωt + cos2 ωt = y21a21+y22a22 ⇒y21a21+y22a22= 1. This is the equation of ellipse.Talk to our academic expert!
Similar Questions
A charged particle is deflected by two mutually perpendicular oscillating electric fields such that the displacement of the particle due to each one of them is given by respectively. The trajectory followed by the charged particle is
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