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MMLU-Pro / 10342 / A simple pendulum of length b and bob with mass m is attached to a massless…

Problem

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

question

A simple pendulum of length bb and bob with mass mm is attached to a massless support moving vertically upward with constant acceleration aa. Determine the period for small oscillations.
Plain-text mathematical notation (without MathML)
A simple pendulum of length b and bob with mass m is attached to a massless support moving vertically upward with constant acceleration a. Determine the period for small oscillations.
Original LaTeX notation
A simple pendulum of length $b$ and bob with mass $m$ is attached to a massless support moving vertically upward with constant acceleration $a$. Determine the period for small oscillations.

category

physics

options

  1. $2 \pi$ $\sqrt{\frac{b}{a}}$
  2. $2 \pi$ $\sqrt{\frac{b+a}{g}}$
  3. $2 \pi$ $\sqrt{\frac{b}{3g-a}}$
  4. $2 \pi$ $\sqrt{\frac{2b}{a+g}}$
  5. $2 \pi$ $\sqrt{\frac{b}{g}}$
  6. $2 \pi$ $\sqrt{\frac{b-g}{a}}$
  7. $2 \pi$ $\sqrt{\frac{b}{2g+a}}$
  8. $2 \pi$ $\sqrt{\frac{b}{a-g}}$
  9. $2 \pi$ $\sqrt{\frac{b}{g-a}}$
  10. $2 \pi$ $\sqrt{\frac{b}{a+g}}$

src

scibench-class

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Source and history

upstream_id / Original problem ID
10342
task_id
c9e1d2ed-9eac-5989-b02c-fd01835fb074
task_key
default--test--10342
task_revision_id
1
config / split
default / test

Official source

initial import