Simple Harmonic Motion: Mechanics Watch

Asmeeta
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Hello!
Can anyone help me with this question? It seems simple but i dk how to proceed.

A point moving in a straight line with simple harmonic motion, has velocities v1 and v2 when its distances from the centre are x1 and x2. Show that the period of motion is 2π√(((x1)^2-(x2)^2)/((v2)^2 - (v1)^2)

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ghostwalker
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(Original post by Asmeeta)
Hello!
Can anyone help me with this question? It seems simple but i dk how to proceed.

A point moving in a straight line with simple harmonic motion, has velocities v1 and v2 when its distances from the centre are x1 and x2. Show that the period of motion is 2π√(((x1)^2-(x2)^2)/((v2)^2 - (v1)^2)

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Can you start with the formula for the velocity as a function of distance from centre.

If so, then just plug in your two sets of values, and eliminate the amplitude and rearrange.
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Asmeeta
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(Original post by ghostwalker)
Can you start with the formula for the velocity as a function of distance from centre.

If so, then just plug in your two sets of values, and eliminate the amplitude and rearrange.
I'll do this. Thx!

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