Difference between Rotation Inertia of Rod V.S Cylinder

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SUMMARY

The discussion clarifies that the rotational inertia of a rod and a cylinder differs due to their geometric properties and mass distribution. The rod is treated as a straight line with negligible radius, leading to a specific moment of inertia equation. In contrast, the cylinder, having a defined radius, results in a different moment of inertia calculation. This distinction is crucial for understanding rotational dynamics in physics.

PREREQUISITES
  • Understanding of rotational inertia concepts
  • Familiarity with basic physics equations
  • Knowledge of geometric properties of solids
  • Concept of mass distribution in rigid bodies
NEXT STEPS
  • Study the moment of inertia equations for various shapes, including rods and cylinders
  • Explore the implications of rotational inertia in real-world applications
  • Learn about the parallel axis theorem for calculating moment of inertia
  • Investigate the effects of mass distribution on rotational motion
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Students of physics, mechanical engineers, and anyone interested in the principles of rotational dynamics and mechanics.

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A rod and Cylinder with a same axis of rotation relative to its body have different rotational inertia equation. WHY?

Thanks in advanced.
 
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The rod is assumed to have negligible radius. It is assumed to be a straight line having a fixed mass. In case of a cylinder, it has a radius hence its moment of inertia is different from that of a rod.
 

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