Moment of inertia - displaced axis

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SUMMARY

The discussion centers on calculating the moment of inertia for a system of three cylinders with a displaced axis, which is not centered within the objects or touching any surfaces. The user successfully applied the Parallel Axis Theorem to determine the moment of inertia by calculating the distance from the center of mass to the revolving axis. This method is essential for solving problems involving non-central axes in rotational dynamics.

PREREQUISITES
  • Understanding of moment of inertia concepts
  • Familiarity with the Parallel Axis Theorem
  • Basic knowledge of rotational dynamics
  • Ability to calculate distances between axes
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  • Study the application of the Parallel Axis Theorem in various geometries
  • Explore advanced rotational dynamics problems involving multiple bodies
  • Learn about the moment of inertia for different shapes and configurations
  • Investigate numerical methods for calculating moments of inertia in complex systems
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Students and professionals in physics, mechanical engineering, and any individuals involved in rotational dynamics and system analysis will benefit from this discussion.

finitefemmet
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Hi,

I need some help, I have a system with 3 cylinders (I got the center of mass for the system). Now I need to calculate the moment of inertia for the system.

I have tried to find some examples or general information, but they all show when the axis either is centered within the object or on the surface. This problem has a distance from the system and is not "touching" any surfaces. I figured out distance from the center of mass too the revolving axis. But I can't get my head around how I can solve this with the "displaced" axis so to speak.

Greatfull for every answer,

thanks!
 
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That did the trick;)
 

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