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

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SUMMARY

The moment of inertia for a uniform thin rod with a length of 3.14 m and mass of 2.11 kg, when calculated about an axis perpendicular to the rod and located 0.67 m from one end, utilizes the Parallel Axis Theorem. The formula applied is I = I(cm) + Mh², where I(cm) is calculated as 1/12 * M * L². Substituting the values, I(cm) equals 0.196 kg-m², and h is the distance from the center of mass to the new axis, which is 0.67 m - 1.57 m (the center of the rod), resulting in a total moment of inertia of 0.392 kg-m².

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  • Basic knowledge of physics equations related to rotational motion
  • Ability to perform algebraic calculations with physical constants
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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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