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
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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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.
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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