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MMLU-Pro / 10292 / A uniform rigid bar of weight W and length l is maintained in a horizontal…

Problem

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

question

A uniform rigid bar of weight W and length l is maintained in a horizontal equilibrium position by a vertical spring at its end whose modulus is given as k. The other end of the bar is pinned to the wall. If the bar is depressed slightly and released, determine the equation of motion of the bar by use of Lagrange's equation.

category

physics

options

  1. \( \ddot{\theta} + (3g / kW) \theta = 0 \)
  2. extthetä + (4gk / W) exttheta = 0
  3. \( \ddot{\theta} + (6gk / W) \theta = 0 \)
  4. \( \ddot{\theta} + (gk / 3W) \theta = 0 \)
  5. extthetä + (gk / W) exttheta = 0
  6. \( \ddot{\theta} + (3gk / 2W) \theta = 0 \)
  7. extthetä + (3gk / W) exttheta = 0
  8. \( \ddot{\theta} + (5gk / W) \theta = 0 \)
  9. extthetä + (2gk / W) exttheta = 0
  10. \( \ddot{\theta} + (gk / 2W) \theta = 0 \)

src

stemez-Mechanics

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Source and history

upstream_id / Original problem ID
10292
task_id
b40d7942-f557-5599-a7ac-4cdadacaa0e5
task_key
default--test--10292
task_revision_id
1
config / split
default / test

Official source

initial import