The displacement of a particle in simple harmonic motion in one time period is
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Simple harmonic motion
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In a Simple Harmonic Motion, the particle teds to move in a to and fro manner. That is, the particle reaches it's maximum position in the to movement and comes back to original position and then again goes backward as a fro movement and again comes to mean position.
The time taken to complete one such oscillation is called one time period.
We know that, Displacement is calculated by subtracting the Final Position and Initial Position. In this case, the Final and the Initial position tend to be the same point and hence coincide with each other. Hence the shortest distance is zero.
Hence the displacement of the particle in one time period in a Simple Harmonic Motion is zero.
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