lecture28 - The simple pendulum L x L ma F mg sin If a g...

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The simple pendulum sin mg F ma If 1  than  sin x L g a    t A t x cos ) ( g L T L g 2 ; mg L L x Example: 0 10 5 . 0 0 0 v m L s m m s m L g / 4 . 4 5 . 0 / 8 . 9 2     0 sin 0 0 cos 0 0 A v A x L 0 36 5 . 0 360 10 2 0  m m L A x L g dt x d 2 2 t s m m t x / 4 . 4 cos 36 ) (   L x g a sin Linear equation:
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Example: A person swings on a swing. When the person sits still, the swing moves back and forth at its natural frequency. If, instead, the person stands on the swing, the new natural frequency of the swing is: A. Greater B. The same C. Smaller L g If the person stands, L becomes smaller Example: Grandpa decides to move to the Moon, and he naturally takes his old pendulum clock with him. But gravity on the Moon is approximately g /6. .. As a result, his clock is: A. Too fast B. Too slow C. Too fast until Noon, too slow after noon The period of the pendulum is longer on the Moon.
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This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture28 - The simple pendulum L x L ma F mg sin If a g...

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