A weight is attached to a spring and reaches its equilibrium posi- tion (x = 0). It is then set in motion resulting in a displacement of x = 10 cos t, where x is measured in centimeters and t is measured in seconds. See the accompanying figure. -10 Equilibrium position at x = 0 10 a. Find the spring's displacement when t = 0, t = 7/3, and t = 37/4. b. Find the spring's velocity when t = 0, t = T/3, and t = 37/4. www

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A weight is attached to a spring and reaches its equilibrium posi-
tion (x = 0). It is then set in motion resulting in a displacement of
x = 10 cos t,
where x is measured in centimeters and t is measured in seconds.
See the accompanying figure.
-10
Equilibrium
position
at x = 0
10
a. Find the spring's displacement when t = 0, t = 7/3, and
t = 37/4.
b. Find the spring's velocity when t = 0, t = T/3, and
t = 37/4.
www
Transcribed Image Text:A weight is attached to a spring and reaches its equilibrium posi- tion (x = 0). It is then set in motion resulting in a displacement of x = 10 cos t, where x is measured in centimeters and t is measured in seconds. See the accompanying figure. -10 Equilibrium position at x = 0 10 a. Find the spring's displacement when t = 0, t = 7/3, and t = 37/4. b. Find the spring's velocity when t = 0, t = T/3, and t = 37/4. www
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