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qid 8636 · math
Question: A mass weighing $8 \mathrm{lb}$ stretches a spring 1.5 in. The mass is also attached to a damper with coefficient $\gamma$. Determine the value of $\gamma$ for which the system is critically damped; be sure to give the units for $\gamma$
- 10 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 2 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 4 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 14 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 6 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 20 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 16 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 18 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 12 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
- 8 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$
Our answer: J. 8 $\mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$ Source quote machine-checked (exact quote)
How it was answered
Multi-step solver (maze), replayed by code
Current source
LibreTexts Mathematics, Differential Equations (MTH 225), 6.2 "Spring Problems II"
Source quote machine-checked (exact quote)
Earlier version (superseded)
https://openstax.org/books/university-physics-volume-1/pages/15-5-damped-oscillations
Source weak (http_get_200_text_and_question_terms)
Earlier version (superseded)
No public source has been found for this card yet (3 places checked internally).