The Experiment
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Mathematical model of a simple swinging rod.
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Investigating period, motion and moment of inertia.
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Application of the parallel axis theorem.
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Comparing theoretical predictions with exxperimental observation.
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Calculating uncertainities.
How does it work?
In this experiment, the object of interest is a rectangular wooden rod, specifically, a meter rule of mass M and length L. The rod can be hung on-to a pin pivoted on a firm post. To experiment with different moments of inertia, there is a series of holes drilled through the midline of the rod.
As shown in the figure, the position of the pin is P and the rod is made to swing in a vertical plane about this pivot. The center of mass is, of course, the geometric center of the wooden rod, point O. Students are required to measure the time period T of the oscillation with a stopwatch as the pivot P is varied and plot a graph between T and d = OP.
These observations are analysed for uncertainities and compared with the mathematical model.
Parts Included
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Stand
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Rod holder
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Rod
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Stopwatch