The physical pendulum - mass calculations

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SUMMARY

The discussion centers on the analysis of mass calculations for a physical pendulum, specifically addressing whether the mass of the arm is necessary for calculations involving the pendulum's motion. It is established that while the mass of the arm can be important, the moment of inertia is the critical factor for determining the pendulum's behavior. Additionally, it is confirmed that the mass of the arm can be estimated using the period, length of the arm, and mass of the bob, assuming the arm is uniform and the bob is treated as a point mass.

PREREQUISITES
  • Understanding of physical pendulum dynamics
  • Knowledge of moment of inertia calculations
  • Familiarity with the concepts of period and length in pendulum motion
  • Basic principles of uniform mass distribution
NEXT STEPS
  • Research the calculation of moment of inertia for various shapes
  • Learn about the mathematical modeling of physical pendulums
  • Explore the effects of mass distribution on pendulum motion
  • Investigate the relationship between period and mass in pendulum systems
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in the study or application of pendulum dynamics and mass distribution principles.

HalcyonicBlues
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When analysing the forces/energy transfers acting on a physical pendulum (albeit with a larger mass on the end, such as a grandfather clock...with a thick rod?) is it absolutely necessary to know the mass of the 'arm' (separate from the bob, as such)? Also, can the mass of the arm be calculated (or at least estimated) if the period, length of the arm and mass of the bob are known?
 
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It is not the mass that you really need to know, but the moment of inertia.
 
HalcyonicBlues said:
can the mass of the arm be calculated (or at least estimated) if the period, length of the arm and mass of the bob are known?
Certainly, if you assume the arm is uniform and the bob is small enough to treat as a point (or has a calculable MI).
 

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