# Physics

design an experiment to verify that T is derctly proportional to sqare toot of lenght of the pendulam. (pendulam investigation)

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1. Try timing the period with different masses on the end of a string. Graph the results on log paper if you have it. If not then graph square of the period versus the length and see if you get a straight line no matter how big the mass may be.

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posted by Damon
2. how do we prove dats T is directly proportional to square root of the length of pendulam?

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posted by secret
3. You can either perform the experiment that Damon has described, or derive the proof using Newton's law and mathematics, by solving the time-dependent differential equation of motion.

The approximation sin x = x is usually made when deriving

T = 2 pi sqrt(L/g)

where x is the amplitude of oscillation

Without the sin x = x approximation, there is an additional amplitude-dependent coefficient (which equals 1 for small angles of oscillation), but the period remains independent of mass.

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posted by drwls

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