2- A cylinder with a diameter D floats upright in a liquid. When the cylinder is displaced slightly along its vertical axis it will oscillate about its equilibrium position with a frequency, o. Assume that this frequency is a function of the diameter, D, the mass of the cylinder, m, and the specific weight, y, of the liquid. Determine, with the aid of dimensional analysis, how the frequency is related to these variables. If the mass of the cylinder were increased, would the frequency increase or decrease?

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2- A cylinder with a diameter D floats upright in a liquid. When the
cylinder is displaced slightly along its vertical axis it will oscillate
about its equilibrium position with a frequency, o. Assume that this
frequency is a function of the diameter, D, the mass of the cylinder,
m, and the specific weight, y, of the liquid. Determine, with the aid
of dimensional analysis, how the frequency is related to these
variables. If the mass of the cylinder were increased, would the
frequency increase or decrease?
Transcribed Image Text:2- A cylinder with a diameter D floats upright in a liquid. When the cylinder is displaced slightly along its vertical axis it will oscillate about its equilibrium position with a frequency, o. Assume that this frequency is a function of the diameter, D, the mass of the cylinder, m, and the specific weight, y, of the liquid. Determine, with the aid of dimensional analysis, how the frequency is related to these variables. If the mass of the cylinder were increased, would the frequency increase or decrease?
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