SHMHard
Question
A particle is subjected to two mutually perpendicular simple harmonic motions such that its x and y coordinates are gives by : x = 2 sin ωt; y = 2 sin 
. The path of the particle will be
. The path of the particle will be Options
A.an ellipse
B.a straight line
C.a parabola
D.a circle
Solution
x = 2sin ωt &
y = 2sin
= √2sin ωt + √2cos ωt
⇒ x2 + y2 - √2xy = 2
where represent oblique ellipse
y = 2sin
= √2sin ωt + √2cos ωt⇒ x2 + y2 - √2xy = 2
where represent oblique ellipse
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