Frequency of small oscillations
A pendulum is made of a uniform stick of length L. It is allowed to swing in a vertical plane. Where should the pivot be placed on the stick so that the frequency of (small) oscillations is maximum?
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An object floats in water, with 55% of its volume submerged. What is its approximate density?
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Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample approximately half the size.
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