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Two particles move along the x-axis in simple harmonic motion with the same amplitude A and angular frequency ω. Their equilibrium positions are separated by a distance X0, where X0 > A. If the greatest distance between the particles is X0 + A, what is the phase difference between their oscillations?
- π/3
- π/4
- π/6
- π/2
Correct answer: π/3
Solution
The phase difference of π/3 indicates that when one particle is at its maximum displacement, the other is at a position that allows them to be separated by the maximum distance of X0 + A. This relationship arises from the properties of simple harmonic motion and the geometry of their oscillations.
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