It says the amplitude does not affect the oscillation. So if we used a string 2 feet in length, it would swing the same amount of times as if the string were 20 feet?

Md Ariful Islam

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Dr. Md Rushad Rahman

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"Amplitude" refers to how far the pendulum was pulled back from its neutral hanging position, not the length of the string. As for why this works, consider two pendulums with the same mass and length. Pull one higher than the other, and release both at the same time. When the highest pendulum reaches the point where the lower pendulum started, it has already picked up a significant velocity, and it will only keep accelerating. This way, it can traverse the remaining distance in less time than the lower pendulum, and it works just right so that they arrive in the neutral position at the same time. This means they both have the same period, and that period is independent of starting position.

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