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
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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.
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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