21. A weight is attached to a spring and reaches its equilibrium position (x 0). It is then set in motion resulting in a displacement of x 20 cos t, where x is measured in centimeters and t is measured in seconds. See the figure shown to the right. Answer parts (a) and (b) -20 Equilibrium (a) What is the spring's displacement when t cm (Type an integer or decimal rounded to one decimal place as needed.) What is the spring's displacement when t? cm (Type an integer or decimal rounded to one decimal place as needed.) 5m What is the spring's displacement when t= cm (Type an integer or decimal rounded to one decimal place as needed.) (b) What is the spring's velocity when t ? 2 cm/sec (Type an integer or decimal rounded to one decimal place as needed.) What is the spring's velocity when t? cm/sec (Type an integer or decimal rounded to one decimal place as needed.) 5T What is the spring's velocity when t ? cm/sec (Type an integer or decimal rounded to one decimal place as needed.) wwwwwywu

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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21. A weight is attached to a spring and reaches its equilibrium position (x 0). It is then set in motion resulting in a displacement of x 20 cos t, where x is
measured in centimeters and t is measured in seconds. See the figure shown to the right. Answer parts (a) and (b)
-20
Equilibrium
(a) What is the spring's displacement when t
cm
(Type an integer or decimal rounded to one decimal place as needed.)
What is the spring's displacement when t?
cm
(Type an integer or decimal rounded to one decimal place as needed.)
5m
What is the spring's displacement when t=
cm
(Type an integer or decimal rounded to one decimal place as needed.)
(b) What is the spring's velocity when t
?
2
cm/sec
(Type an integer or decimal rounded to one decimal place as needed.)
What is the spring's velocity when t?
cm/sec
(Type an integer or decimal rounded to one decimal place as needed.)
5T
What is the spring's velocity when t
?
cm/sec
(Type an integer or decimal rounded to one decimal place as needed.)
wwwwwywu
Transcribed Image Text:21. A weight is attached to a spring and reaches its equilibrium position (x 0). It is then set in motion resulting in a displacement of x 20 cos t, where x is measured in centimeters and t is measured in seconds. See the figure shown to the right. Answer parts (a) and (b) -20 Equilibrium (a) What is the spring's displacement when t cm (Type an integer or decimal rounded to one decimal place as needed.) What is the spring's displacement when t? cm (Type an integer or decimal rounded to one decimal place as needed.) 5m What is the spring's displacement when t= cm (Type an integer or decimal rounded to one decimal place as needed.) (b) What is the spring's velocity when t ? 2 cm/sec (Type an integer or decimal rounded to one decimal place as needed.) What is the spring's velocity when t? cm/sec (Type an integer or decimal rounded to one decimal place as needed.) 5T What is the spring's velocity when t ? cm/sec (Type an integer or decimal rounded to one decimal place as needed.) wwwwwywu
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