A cylindrical cork (area A, length L, density pc) is floating in a liquid of density Pw with only a part of its length L submerged in the liquid. If the cork is pushed down by a small distance x, and then let go, the cork starts bobbing up and down in a simple harmonic motion. We wish to find the frequency f at which the cork is moving up and down. Let d be the depth of the cork at a certain time t (see figure) and let do be the depth when the cork is in equilibrium (i.e. not bobbing). L d (a) Draw a free body diagram of the cork when it's momentarily at a depth of d < do. Define "up" as the positive direction.

A cylindrical cork (area A, length L, density pc) is floating in a liquid of density Pw with only a part of its length L submerged in the liquid. If the cork is pushed down by a small distance x, and then let go, the cork starts bobbing up and down in a simple harmonic motion. We wish to find the frequency f at which the cork is moving up and down. Let d be the depth of the cork at a certain time t (see figure) and let do be the depth when the cork is in equilibrium (i.e. not bobbing). L d (a) Draw a free body diagram of the cork when it's momentarily at a depth of d < do. Define "up" as the positive direction.

Name: A cylindrical cork (area A, length L, density pc) is floating in a li
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Description: A cylindrical cork (area A, length L, density pc) is floating in a liquid of density pw with only a part ofits length L submerged in the liquid. If the cork is pushed down by a small distance x, and then let go,the cork starts bobbing up and down in

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Fluid Mechanics

Section: Chapter Questions

Problem 30P

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