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A particle executing simple harmonic motion along y -axis has its motion described by the equation y=Asin(ωt)+B. The amplitude of the simple harmonic motion is

A. A
B. B
C. A+B
D. √A+B

User Loredana
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Final answer:

The amplitude of the simple harmonic motion described by y=Asin(ωt)+B is represented by A, which indicates the maximum range of oscillation. The term B only affects the position's vertical shift, not the amplitude.

Step-by-step explanation:

The amplitude of a particle executing simple harmonic motion (SHM) is the maximum displacement from its equilibrium position. Considering the given equation y=Asin(ωt)+B, the amplitude of the SHM is represented by the coefficient A in front of the sine function, which describes the maximum oscillation range on either side of the central position.

The additional constant B represents a vertical shift from the origin, not the amplitude. So, when looking at the equation describing SHM, y = Asin(ωt) + B, the amplitude of the motion is solely A. Therefore, the correct answer to the question, "What is the amplitude of the simple harmonic motion described by the equation y = Asin(ωt) + B?" is A.

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