College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 13, Problem 33P
Given that x = A cos (ωt) is a sinusoidal function of time, show that v (velocity) and a (acceleration) are also sinusoidal functions of time. Hint: Use Equations 13.6 and 13.2.
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5
2
8. The power output, P, in Watts of an electric generator varies sinusoidally over the course of a day, with a
period of a day. The output is a minimum of 200 watts at midnight and the maximum output is 800 watts.
Let t be the number of hours since midnight.
What is the average power output? What's the amplitude?
Draw the graph of P against t over two days.
Find a formula for P n terms of t. Is it easier to modify a sine formula, or a cosine formula?
I can’t figure out how to work this one out:
A buoy floating in the ocean is bobbing in a simple harmonic motion with period 7 seconds and an amplitude 6 ft. It’s displacement d from sea level at time t=0 seconds is -6ft, and initially it moves upward.
Give the equation modeling the displacement d as a function of time t.
Considering an undamped, forced oscillator (b = 0), show that equation (1) is a solution of equation (2).
(1)
x = A cos(wt + ¢)
d²x
EF = ma → Fo sin wt – bOK – kx = m9
dt?
xp
dt
Use an amplitude given by the following equation. (Submit a file with a maximum size of 1 MB.)
Fo
A
V (w? - w,3)?
+ m
Chapter 13 Solutions
College Physics
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