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

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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Question

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 fat 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
Ja
(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.

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