Find Damping Constant of Pendulum: Formula & Tips

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Homework Help Overview

The discussion revolves around finding the damping constant of a pendulum, focusing on the relevant equations and concepts in the context of dynamics and oscillatory motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the equations of motion for an undamped pendulum and consider the addition of a retarding force related to angular velocity. There are inquiries about deriving the equation of motion based on length and mass, as well as discussions on linear versus nonlinear drag forces.

Discussion Status

The conversation is ongoing, with participants sharing their knowledge and seeking clarification on the derivation process. Some guidance has been offered regarding the need to understand differential equations and the effects of drag, but no consensus or complete solutions have emerged.

Contextual Notes

There is a noted emphasis on not providing direct answers, with participants encouraged to engage in the derivation process themselves. Some participants express limited knowledge, which may affect their contributions to the discussion.

NINHARDCOREFAN
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How do I find the damping constant of a pendulum? Is there a formula?
 
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I'd assume that you start with the equations of motion for an undamped pendulum, and then add in a retarding force that increases with angular velocity. Are you familiar with how to derive the equation of motion of a pendulum from the length and the mass?
 
No, all I know is how to find its period.
 
you need to work with linear differiential equations. you can have linear drag or quadratic drag (then it will be nonlinear). i suggest you learn some projectiles motions involving air resistance first if all you know is the formula for the period...
 
Can someone please give me the equation with length and mass? I'll try to derive it.
 
Last edited:
NINHARDCOREFAN said:
Can someone please give me the equation with length and mass? I'll try to derive it.
We don't give out answers here in the PF. We guide:

http://en.wikipedia.org/wiki/Pendulum
 

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