Calculate Moment of Inertia: Thin Rod, Length 3.14m, Mass 2.11kg

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Homework Help Overview

The discussion revolves around calculating the moment of inertia for a uniform thin rod with a specified length and mass, focusing on an axis that is not at the center of the rod.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of the moment of inertia formula for a rod and question how to adjust it when the axis is not at the center. There is mention of the Parallel Axis Theorem and its components, including the moment of inertia about the center of mass.

Discussion Status

There is an ongoing exploration of the relevant formulas and the application of the Parallel Axis Theorem. Some participants confirm the relationship between the moment of inertia at the center of mass and the total moment of inertia when shifted.

Contextual Notes

Participants are discussing the implications of shifting the axis of rotation and the necessary adjustments to the moment of inertia calculation. There is a reference to textbook definitions and the need for clarity on the distance from the center of mass.

ViewtifulBeau
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A uniform thin rod has a length 3.14 m and mass 2.11 kg. Find the moment of inertia in kg-m2 about an axis that is perpendicular to the rod and passes through the rod at a distance of 0.67 m from the end of the rod.

I know that if the axis was in the center of the rod the equation would be 1/12 * M *L^2 . M =mass L = length.

I don't know what to do with the axis being in a different place. is it the same eqation(doubt it) or the left half minus the right half or what?
 
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Use the Parallel axis or Steiner's Theorem.
 
Have you heard of the Parallel Axis Theorem?
 
Did you learn about the parallel axis theorem?
 
hahahahaha
 
ECHO, Echo, echo! ;)
 
well thanks for the quick relpies, ummm yeah here in my book it is I = I(cm) +Mh^2

is I(cm) = 1/12 * M *L^2?
M is total mass
and h would be... distance from the center of mass?
 
This is true.
 

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