is needed to keep a spring with a 8 kg mass stretched 0.75 m beyond its natural length. For the problem above, find the damping constant c that would produce critical damping.
is needed to keep a spring with a 8 kg mass stretched 0.75 m beyond its natural length. For the problem above, find the damping constant c that would produce critical damping.
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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Question
A force of 39 N is needed to keep a spring with a 8 kg mass stretched 0.75 m beyond its natural length.
For the problem above, find the damping constant c that would produce critical damping.
c = ________
** Previous answers of 41.8 and 52 were incorrect.
![**Problem Statement:**
A force of 39 N is needed to keep a spring with an 8 kg mass stretched 0.75 m beyond its natural length.
For the problem above, find the damping constant \( c \) that would produce critical damping.
---
**Solution:**
**c =** [Text Box: 52]
**Explanation:**
A box with the value "52" is shown, accompanied by a red X mark, indicating the provided value is incorrect. Further investigation or recalculation is needed to find the correct damping constant for critical damping. Critical damping occurs when the damping constant \( c \) fulfills the condition for a critically damped harmonic oscillator.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50b7307d-f147-4c39-812e-01e48cbfa721%2Fafc62ab5-0bf4-4eda-ac47-fba807d885cd%2F7d45oom_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A force of 39 N is needed to keep a spring with an 8 kg mass stretched 0.75 m beyond its natural length.
For the problem above, find the damping constant \( c \) that would produce critical damping.
---
**Solution:**
**c =** [Text Box: 52]
**Explanation:**
A box with the value "52" is shown, accompanied by a red X mark, indicating the provided value is incorrect. Further investigation or recalculation is needed to find the correct damping constant for critical damping. Critical damping occurs when the damping constant \( c \) fulfills the condition for a critically damped harmonic oscillator.
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