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
A
A0+√A2+B2
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B
√A2+B2
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C
√A02+(A+B)2
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D
A+B
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Solution
The correct option is B√A2+B2 Given, y=A0+A sin ωt + B cos ωt Equation of SHM y′=y−A0=A sin ωt + B cos ωt Resultant amplitude, R=√A2+B2+2ABcos90° =√A2+B2