When two displacements represented by y 1 = a s i n ⁡ ( ω t ) and y 2 = b cos ⁡ ω t are superimposed the motion is:

Question

Aicharya · Accepted Answer

y 1 = a sin ⁡ ω t y 2 = b cos ⁡ ω t = b sin ⁡ ω t + π 2 Amplitude A = a 2 + b 2 + 2 a b cos ⁡ π 2 A = a 2 + b 2 Since the frequency for both motion are same, then the resultant motion will be SHM.

When two displacements represented by y 1 = a s i n ⁡ ( ω t ) and y 2 = b cos ⁡ ω t are superimposed the…

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