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Third law

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By Expert Faculty of Sri Chaitanya
Question

The displacement of a particle executing simple harmonic motion is given by y=A0+Asinωt+Bcosωt. Then the amplitude of its oscillation is given by

Easy
Solution

y=A0+Asinωt+Bcosωt

 or  y-A0=Asinωt+Bcosωt

 or  y'=Asinωt+Bcosωt=Acosπ2-ωt+Bcosωt

 Amplitude =A2+B2+2ABcosπ2 ϕ=π2                     =A2+B2


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