If the amplitude of the oscillation of a weight suspended from a spring is doubled, the period will:_____.

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26-08-2022
Physics

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If the amplitude of the oscillation of a weight suspended from a spring is doubled, the period will:_____.

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-09-01T11:20:04+02:00

If the amplitude of the oscillation of a weight that is suspended from a spring is doubled, the period will remain the same.

What is amplitude?

Amplitude can be defined as the maximum x-position of a simple harmonic motion (SHM) and it is typically denoted with the symbol (A).

During a simple harmonic motion (SHM), the spring would begin to oscillate between x = +A and x = -A, and it is modeled by this equation:

x(t) = Acos(2πt/T) = Acos(2ωt)

where: A represents the amplitude of the motion, and T represents the period of the oscillation.

Based on the equation, we can infer and logically deduce that the period of the oscillation of a weight that is suspended from a spring would remain the same, even when the amplitude of the oscillation of a weight that is suspended from a spring is doubled.