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MMMU-Pro / test_Mechanical_Engineering_7 / Find the natural frequency of the pendulum shown in <image 1> when the mass of…

Problem

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

question

Find the natural frequency of the pendulum shown in <image 1> when the mass of the connecting bar is not negligible compared to the mass of the pendulum bob

img type

  • Other

options

  1. $w_{n}=\sqrt{\frac{(\frac{m}{3}+M)g}{(\frac{m}{2}+M)l}}$
  2. $w_{n}=\sqrt{\frac{(\frac{m}{3}+M)g}{(\frac{m}{5}+M)l}}$
  3. $w_{n}=\sqrt{\frac{(\frac{m}{4}+M)g}{(\frac{m}{3}+M)l}}$
  4. $w_{n}=\sqrt{\frac{(\frac{m}{3}+M)g}{(\frac{m}{3}+M)l}}$
  5. $w_{n}=\sqrt{\frac{(\frac{m}{2}+M)g}{(\frac{m}{3}+M)l}}$
  6. $w_{n}=\sqrt{\frac{(\frac{m}{2}+M)g}{(\frac{m}{2}+M)l}}$
  7. $w_{n}=\sqrt{\frac{(\frac{m}{2}+M)g}{(\frac{m}{4}+M)l}}$
  8. $w_{n}=\sqrt{\frac{(\frac{m}{4}+M)g}{(\frac{m}{4}+M)l}}$
  9. $w_{n}=\sqrt{\frac{(\frac{m}{5}+M)g}{(\frac{m}{3}+M)l}}$

subject

Mechanical_Engineering
image_1.png

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Source and history

Official source

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