A long, cylindrical rod of radius r is weighted on one end so that it fl oats upright in a fl uid having a density . It is pushed down a distance x from its equilibrium position and released. Show that the rod will execute simple harmonic motion if the resistive effects of the fl uid are negligible and determine the period of the oscillations

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. A long, cylindrical rod of radius r is weighted
on one end so that it fl oats upright in a fl uid having a density . It is pushed down a distance x from its equilibrium
position and released. Show that the rod will execute simple
harmonic motion
if the resistive effects of the fl uid are negligible and determine the period of the oscillations.

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