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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8325▌ posts · files
MMLU-Pro / 8325 / A spring is stretched 6 in by a mass that weighs 8lb. The mass is…
Problem
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question
A spring is stretched 6 in by a mass that weighs . The mass is attached to a dashpot mechanism that has a damping constant of and is acted on by an external force of .
If the given mass is replaced by a mass , determine the value of for which the amplitude of the steady state response is maximum.
Plain-text mathematical notation (without MathML)
A spring is stretched 6 in by a mass that weighs 8lb. The mass is attached to a dashpot mechanism that has a damping constant of 0.25lb⋅s/ft and is acted on by an external force of 4cos2tlb. If the given mass is replaced by a mass m, determine the value of m for which the amplitude of the steady state response is maximum.
Original LaTeX notation
A spring is stretched 6 in by a mass that weighs $8 \mathrm{lb}$. The mass is attached to a dashpot mechanism that has a damping constant of $0.25 \mathrm{lb} \cdot \mathrm{s} / \mathrm{ft}$ and is acted on by an external force of $4 \cos 2 t \mathrm{lb}$.
If the given mass is replaced by a mass $m$, determine the value of $m$ for which the amplitude of the steady state response is maximum.category
math
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Source and history
- upstream_id / Original problem ID
- 8325
- task_id
9f919676-c2bc-5f16-b20a-772cafb9f25e- task_key
default--test--8325- task_revision_id
- 1
- config / split
- default / test
initial import