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A cylinder of diameter D and mass m foats with its axis vertical in a liquid of density p. It recives a small push along the axis in a vertical direction producing approximate SHM (ignore viscosity). what is the period of oscillation?
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Try this http://www.hep.vanderbilt.edu/~maguirc/Physics116SP08/Chapter_14/lecture22SHMFloat.pdf
Marley has a fantastic answer there you just need to know that ω = 2π/Τ. Then you can calculate your period of oscilation by solving for T
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