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21 problems tagged with rigid body

P0770 Period of a Compound Physical Pendulum
Advanced
Mechanics › Waves and Sound

P0770

Advanced Mechanics › Waves and Sound

Period of a Compound Physical Pendulum

A light rigid rod of length $l$ is pivoted at one end and has a mass $m$ at the other. A second mass $m$ is attached to the rod at a distance $x$ from the pivot.

  1. Find the period T of the system for small-angle oscillations.
  2. Find the value of $x$ (in terms of $l$) that minimizes the period T.
Oscillations rigid body
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