benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8958▌ posts · files
MMLU-Pro / 8958 / A certain vibrating system satisfies the equation …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A certain vibrating system satisfies the equation
$u^{\prime \prime}+\gamma u^{\prime}+u=0$. Find the value of the damping coefficient for which the quasi period of the damped motion is greater than the period of the corresponding undamped motion.Plain-text mathematical notation (without MathML)
A certain vibrating system satisfies the equation $u^{\prime \prime}+\gamma u^{\prime}+u=0$. Find the value of the damping coefficient γ for which the quasi period of the damped motion is 50% greater than the period of the corresponding undamped motion.Original LaTeX notation
A certain vibrating system satisfies the equation $u^{\prime \prime}+\gamma u^{\prime}+u=0$. Find the value of the damping coefficient $\gamma$ for which the quasi period of the damped motion is $50 \%$ greater than the period of the corresponding undamped motion.category
math
options
- 1.5923
- 1.4142
- 1.7321
- 1.2247
- 1.3333
- 1.4907
- 1.7089
- 1.2500
- 1.3295
- 1.6180
src
scibench-diff
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Source and history
- upstream_id / Original problem ID
- 8958
- task_id
0a95ff5c-cbf4-5d4f-bec0-b08b5dc99e59- task_key
default--test--8958- task_revision_id
- 1
- config / split
- default / test
initial import