Lagrange for Rod/nail swinging from horizontal plane

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SUMMARY

The discussion focuses on deriving the Lagrange Equation for a rod or nail swinging from a horizontal plane while also translating along the X-axis. The user proposes using the kinetic energy formula 1/2mv^2 + (1/2)Iω^2, indicating a need for clarity on the system's configuration. Participants emphasize the importance of accurately representing the kinematics involved in the motion to avoid critical errors in the analysis.

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  • Basic knowledge of rotational dynamics
  • Ability to interpret kinematic diagrams
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shanshan123
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Hi!

I need to figure out the Lagrange Equation for a rod or nail swinging from a horizontal plane. The thing is, that while it is swinging back and forth, the while nail is moving along the X axis as well. I was thinking to use 1/2mv^2+(1/2)Iø^2 . Any help would be appreciated!

Thanks.
 
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Your description does not make clear what the system is. A figure would really help a lot.

Your words suggest that you are neglecting some aspect of the kinematics. This is a common, but entirely fatal, error.
 

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