Oscillations Ques 20
20. A particle is subjected to two mutually perpendicular simple harmonic motions such that its $x$ and $y$ coordinates are given by
$x=2 \sin \omega t ; \quad y=2 \sin (\omega t+\frac{\pi}{4})$
The path of the particle will be determined by the forces acting upon it.
[1994]
(a) a straight line
(b) a circle
(c) an ellipse is a closed curve with two foci, where the sum of the distances from any point on the curve to the two foci is constant.
(d) a parabola
Show Answer
Answer:
Correct Answer: 20.(c)
Solution:
- (c) As phase difference $=\frac{\pi}{4}$, the resultant path of particle is an ellipse.
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