Harmonic Motion The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by y(t) = e- cos 6t where y is the displace- ment (in feet) and t is the time (in seconds).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.4: Trigonometric Functions Of Any Angle
Problem 98E
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Model It
57. Harmonic
equilibrium of an oscillating weight suspended by a
spring and subject to the damping effect of friction is
given by y(t) = je- cos 6t where y is the displace-
ment (in feet) and t is the time (in seconds).
Motion The
displacement
from
Transcribed Image Text:Model It 57. Harmonic equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given by y(t) = je- cos 6t where y is the displace- ment (in feet) and t is the time (in seconds). Motion The displacement from
Model It (continued)
(a) Complete the table.
1
y
(b) Use the table feature of a graphing utility to
approximate the time when the weight reaches
equilibrium.
(c) What appears to happen to the displacement as t
increases?
Transcribed Image Text:Model It (continued) (a) Complete the table. 1 y (b) Use the table feature of a graphing utility to approximate the time when the weight reaches equilibrium. (c) What appears to happen to the displacement as t increases?
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