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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9062▌ posts · files
MMLU-Pro / 9062 / Determine the root-mean-square (rms) values of displacement, velocity, and…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Determine the root-mean-square (rms) values of displacement, velocity, and acceleration for a damped forced harmonic oscillator operating at steady state.
category
physics
options
- x_rms= (x_max/ \surd2), v_rms= (\omegax_max/ \surd2), a_rms= (\omega^2x_max / \surd2)
- x_rms= (\omega^2x_max / \surd2), v_rms= (\omegax_max/ \surd2), a_rms= (x_max/ \surd2)
- x_rms= (\omegax_max/ \surd2), v_rms= (x_max/ \surd2), a_rms= (x_max / \surd2)
- x_rms= (x_max / 3), v_rms= (\omega x_max / 3), a_rms= (\omega^2 x_max / 3)
- x_rms= (\omega x_max / 3), v_rms= (x_max / \surd2), a_rms= (\omega^2 x_max / 3)
- x_rms= (\omega^2 x_max / 2), v_rms= (\omega x_max / 2), a_rms= (x_max / \surd2)
- x_rms= (\omega x_max / 2), v_rms= (x_max / 2), a_rms= (\omega^2 x_max / 2)
- x_rms= (2 x_max / \surd2), v_rms= (\omega x_max / \surd2), a_rms= (\omega^2 x_max / \surd2)
- x_rms= (x_max / 2), v_rms= (\omega^2 x_max / \surd2), a_rms= (\omega x_max / \surd2)
- x_rms= (x_max/ \surd2), v_rms= (x_max/ \surd2), a_rms= (\omega^2x_max / \surd2)
src
stemez-Mechanics
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Source and history
- upstream_id / Original problem ID
- 9062
- task_id
5d6936c3-1ba1-57a5-9fc9-6b832ff575c1- task_key
default--test--9062- task_revision_id
- 1
- config / split
- default / test
initial import