benchmarks.wiki

benchmarks.wiki / Public workspace

MMMU-Pro / validation_Mechanical_Engineering_29 / Find the equivalent torsional spring constant of the system shown in <image 1>.…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Find the equivalent torsional spring constant of the system shown in <image 1>. Assume that k1, k2, k3, and k4 are torsional and k5 and k6 are linear spring constants.

img type

  • Diagrams

options

  1. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{4}+k_{5}+k_{6}+R^2$
  2. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{6}+R^2{(k_{4}+k_{5})}$
  3. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{4}+k_{5}+R^2{(k_{6})}$
  4. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{4}+R^2{(k_{5}+k_{6})}$
  5. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{5}+k_{6}+R^2{(k_{4})}$
  6. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+R^2{(k_{4}+k_{5}+k_{6})}$
  7. $k_{et}=(\frac{k_{1}k_{2}k_{3}}{k_{2}k_{3}+k_{1}k_{3}+k_{1}k_{2}})+k_{5}+R^2{(k_{4}+k_{6})}$

subject

Mechanical_Engineering
image_1.png

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
validation_Mechanical_Engineering_29
task_id
3abb578c-5a78-5cb2-9525-3a4316197fa4
task_key
standard~20~2810~20options~29--test--validation~5fMechanical~5fEngineering~5f29
task_revision_id
4
config / split
standard (10 options) / test

Official source

initial import