39. A Bobbing Cork A cork floating in a lake is bobbing in sim- ple harmonic motion. Its displacement above the bottom of the lake is modeled by y = 0.2 cos 20nt + 8 where y is measured in meters and t is measured in minutes. (a) Find the frequency of the motion of the cork. (b) Sketch a graph of y. (c) Find the maximum displacement of the cork above the lake bottom.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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39. A Bobbing Cork A cork floating in a lake is bobbing in sim-
ple harmonic motion. Its displacement above the bottom of
the lake is modeled by
y = 0.2 cos 20nt + 8
where y is measured in meters and t is measured in minutes.
(a) Find the frequency of the motion of the cork.
(b) Sketch a graph of y.
(c) Find the maximum displacement of the cork above the
lake bottom.
Transcribed Image Text:39. A Bobbing Cork A cork floating in a lake is bobbing in sim- ple harmonic motion. Its displacement above the bottom of the lake is modeled by y = 0.2 cos 20nt + 8 where y is measured in meters and t is measured in minutes. (a) Find the frequency of the motion of the cork. (b) Sketch a graph of y. (c) Find the maximum displacement of the cork above the lake bottom.
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