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When two displacements represented by $y_1 = a\sin(\omega t)$ and $y_2 = b\cos(\omega t)$ are superimposed, the motion is

medium

Oscillations

2015

physics

simple harmonic with amplitude $\frac{a}{b}$

simple harmonic with amplitude $\sqrt{a^2 + b^2}$

Explanation

To determine the nature of the motion when two displacements are superimposed, we need to analyze the given expressions: $\\ y_1 = a\sin(\omega t) \\ y_2 = b\cos(\omega t) \\$

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When two displacements represented by y1=asin⁡(ωt) y_1 = a\sin(\omega t) y1​=asin(ωt) and y2=bcos⁡(ωt) y_2 = b\cos(\omega t) y2​=bcos(ωt) are superimposed, the motion is

Explanation

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When two displacements represented by $y_1 = a\sin(\omega t)$ and $y_2 = b\cos(\omega t)$ are superimposed, the motion is