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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? 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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