A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the system is 12√√5 N-sec/m. If the mass is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain? 3 (3+0.6√5) 0.6√5 +6 (Type an exact answer, using radicals as needed.) The maximum displacement is 0.3 + e -6√√5 0.6√5 +6 meters.
A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the system is 12√√5 N-sec/m. If the mass is pulled 30 cm to the right of equilibrium and given an initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that it will attain? 3 (3+0.6√5) 0.6√5 +6 (Type an exact answer, using radicals as needed.) The maximum displacement is 0.3 + e -6√√5 0.6√5 +6 meters.
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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![A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the
system is 12√5 N-sec/m. If the mass is pulled 30 cm to the right of equilibrium and given an
initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that
it will attain?
The maximum displacement is 0.3 +
3(3+0.6√5)
0.6√5 +6
(Type an exact answer, using radicals as needed.)
e
-6√√5
0.6√5 +6
meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b070d29-61c8-49d8-92a5-4429b5559c9e%2F6b18fae4-6d82-465f-9114-46e78304ff46%2Fa44i4i_processed.png&w=3840&q=75)
Transcribed Image Text:A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the
system is 12√5 N-sec/m. If the mass is pulled 30 cm to the right of equilibrium and given an
initial rightward velocity of 3 m/sec, what is the maximum displacement from equilibrium that
it will attain?
The maximum displacement is 0.3 +
3(3+0.6√5)
0.6√5 +6
(Type an exact answer, using radicals as needed.)
e
-6√√5
0.6√5 +6
meters.
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