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Why does the period of a pendulum not depend on the amplitude?
Actually, the period of a pendulum does depend slightly on the amplitude. But at low amplitudes, it almost doesn't depend on the amplitude at all. This is related to the fact that in such a case, the restoring force - the force that pulls the pendulum back to its center position - is proportional to the displacement. That is, if the pendulum moves away further, the restoring force will also be greater.
What are the factors on which the time period of simple pendulum does not depend?
The time of a period doesn't depend on the mass of the Bob(that'll be a mass spring system) It also doesn't depend on Friction..
What will the time period of simole pendulum in free space?
Unless it's in a ship that is accelerating, a simole pendulum will not swing in free space. If it's in a ship that's accelerating, its period will depend on the magnitude of the acceleration.
Does a period of a pendulum depend on the amplitude?
For very little swings, no, the period is unrelated to the amplitude. For larger swings, however, the period increases slightly due to circular error.
Does the period of simple pendulum depend on the mass of the bob?
Not in the theoretical world, in the practical world: just a very little. The period is determined primarily by the length of the pendulum. If the rod is not a very small fraction of the mass of the bob then the mass center of the rod will have to be taken into account when calculating the "length" of the pendulum.
