Two simple motions are represented by y1=5(sin2πt+√3 cos2πt) y2=5sin⁡(2πt+π/4) The ratio of the amplitude of two simple harmonic motions is?

Two simple motions are represented by y1=5(sin2πt+√3 cos2πt) y2=5sin⁡(2πt+π/4) The ratio of the amplitude of two simple harmonic motions is? Correct Answer 2:1

y1=5×2(sin2πtcos(π/3)+sin⁡(π/3)cos2πt) y1=10sin⁡(2πt+(π/3)) y2=5sin⁡(2πt+(π/4)) A1/A2 = 10/5=2:1.

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