Question
Question: When two simple harmonic motions of same periods, same amplitude, having phase of 3π/2, and at right...
When two simple harmonic motions of same periods, same amplitude, having phase of 3π/2, and at right angles to each other are super imposed, the resultant wave form is a
A
Circle
B
Parabolac
C
Ellipse
D
Figure of eight
Answer
Circle
Explanation
Solution
When two SHM of different amplitudes and same period are superposed, the resulting motion is in general elliptical. When the phase difference is 0 or 1800, the motion will be a straight line. When the phase difference is 90 or 2700, the motion will be an ellipse whose axes coincide with coordinate axes. If the amplitudes are the same and the phase difference is 900 or 2700 , the motion will be circular.