A uniform cylinder with cross-sectional area A, length L, and density p floats with its long axis ver- tical in a liquid of density 3p. Pressing down on the cylinder pushes it deeper into the liquid. Draw a diagram first, showing all the forces acting on the cylinder and all relevant quantities Find an expression (in terms of the given variables) for the force needed to push the cylinder a distance y deeper into the liquid and hold it there [Hint: Consider both the situations where the cylinder is and is not pressed down.] Use the expression you derive in (b) to argue that, on releasing the cylinder, the resultant motion must be simple harmonic. What is the effective spring constant for this "oscillator"? Give an algebraic expression only in terms of the given variables). What is the total energy stored in this "oscillator"? Give an algebraic expression only in terms of the given variables.

A uniform cylinder with cross-sectional area A, length L, and density p floats with its long axis ver- tical in a liquid of density 3p. Pressing down on the cylinder pushes it deeper into the liquid. Draw a diagram first, showing all the forces acting on the cylinder and all relevant quantities Find an expression (in terms of the given variables) for the force needed to push the cylinder a distance y deeper into the liquid and hold it there [Hint: Consider both the situations where the cylinder is and is not pressed down.] Use the expression you derive in (b) to argue that, on releasing the cylinder, the resultant motion must be simple harmonic. What is the effective spring constant for this "oscillator"? Give an algebraic expression only in terms of the given variables). What is the total energy stored in this "oscillator"? Give an algebraic expression only in terms of the given variables.

Name: A uniform cylinder with cross-sectional area A, length L, and density
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Description: A uniform cylinder with cross-sectional area A, length L, and density p floats with its long axis ver-tical in a liquid of density 3p. Pressing down on the cylinder pushes it deeper into the liquid.Draw a diagram first, showing all the forces acting

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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