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Question: 1 a cylinder of mass m height h and radius...

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1. A cylinder of mass m, height h and radius r floats partially submerged in a liquid of density ρ. One third of the height of the cylinder is above the surface of the water. Johnny pushes the cylinder down by a small distance x<h/3, then he releases it from rest.

A) prove that the resulting motion of the cylinder is a simple harmonic motion.

B) Find the period of the small oscillations in terms of the given quantities (m,r,h,ρ)

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