A cylindrical (log) of length (ell) and radius (R) floats horizontally half submerged in a liquid of
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A cylindrical \(\log\) of length \(\ell\) and radius \(R\) floats horizontally half submerged in a liquid of mass density \(ho\).
(a) By direct integration of the pressure over the surface of the \(\log\), calculate the vector sum of the upward forces exerted on the \(\log\) by the liquid.
(b) Show that your answer in part \(a\) is consistent with Archimedes' principle.
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a To calculate the vector sum of the upward forces exerted on the log by the liquid we need to integ...View the full answer
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