The displacement of an oscillating particle is given by x = asinωt + bcosωt where a, b and ω are constants. Prove that the particle performs a linear S.H.M. with amplitude A = √ (a² + b²)

Question:

19. The displacement of an oscillating particle is given by x = asinωt + bcosωt where a, b and ω are constants. Prove that the particle performs a linear S.H.M. with amplitude A = √ (a² + b²)

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Answer Steps :

Given & Formula :-

Solution :-

Step1 :-

Step2 :-

Step3 :-

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Given & Formula :-

Solution :-

Step1 :-

Step2 :-

Step3 :-

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