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

Question

Accepted Answer

Correct answer: C. (c) If y_1 = a_1 sin ꞷt and, y2 = a2sin(ꞷt + 0) = a2 sin ꞷt ⇒ y_1^2a_1^2+ y_2^2a_2^2- 2y_1y_2a_1a_2 = 0 ⇒ y2 = a_2a_1y_1 This is the equation of straight line.

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

Solution

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