Whats the phrequency of a pendulum and a balance?

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SUMMARY

The discussion focuses on the relationship between the swinging frequency of a pendulum and a beam balance. The angular frequency of a beam balance is defined by the formula ω = √(g / (αL)), where L represents the distance from the pivot point to the center of mass, and α is a factor related to the moment of inertia based on the balance's geometry. Understanding these parameters is crucial for constructing a pendulum that resonates with the balance.

PREREQUISITES
  • Understanding of angular frequency in physics
  • Knowledge of moment of inertia and its calculation
  • Familiarity with pendulum mechanics
  • Basic principles of harmonic motion
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  • Research the calculation of moment of inertia for various geometries
  • Explore the principles of harmonic motion in pendulums
  • Learn about resonance and its applications in mechanical systems
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Physics students, mechanical engineers, and hobbyists interested in building resonant systems involving pendulums and balances.

eosphorus
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i want to build a pendulum in resonace with a balance to see what happens

so anybody knows what's the swinging prequency of a balance depending on his arm and that of a pendulum that i don't remember know
 
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The angular frequency of a beam balance is

[tex]\omega = \sqrt {\frac {g}{\alpha L}}[/tex]

where L is the distance from the pivot point to the center of mass of the balance and [itex]\alpha[/itex] is a factor related to the moment of inertia of the balance which depends on the particular geometry of your device.
 

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