Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant from of vibration will be

Question

Dr. Abubacker · Accepted Answer

(c) If $y_{1} = a_{1}\sin{\omega t}$ and$\ y_{2} = a_{2}\sin{(\omega t + 0) = a_{2}}\sin{\omega t}$
$\Rightarrow \frac{y_{1}^{2}}{a_{1}^{2}} + \frac{y_{2}^{2}}{a_{2}^{2}} - \frac{2y_{1}y_{2}}{a_{1}a_{2}} = 0 \Rightarrow y_{2} = \frac{a_{2}}{a_{1}}y_{1}$
This is the equation of straight line

Q. Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant from of vibration will be

Explanation

Reviewed by Dr. Abubacker

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