A cylindrical piece of cork of density of base area A and height h floats in a liquid of density p₁. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T= 2 π √( hp/p₁/g) where r is the density of cork. (Ignore damping due to viscosity of the liquid).

A cylindrical piece of cork of density of base area A and height h flo

1.	A cylindrical piece of cork of density of base area A and height h floats in a liquid of density p₁. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T= 2 π √( hp/p₁/g) where r is the density of cork. (Ignore damping due to viscosity of the liquid).
Answer» A cylindrical piece of cork of density of base area A and height h floats in a liquid of density p₁. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T= 2 π √( hp/p₁/g) where r is the density of cork. (Ignore damping due to viscosity of the liquid).

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