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

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To calculate the moment of inertia of a uniform thin rod with a length of 3.14 m and mass of 2.11 kg about an axis perpendicular to the rod and 0.67 m from one end, the Parallel Axis Theorem is applicable. The moment of inertia about the center of mass (I(cm)) is given by the formula I(cm) = 1/12 * M * L^2. The distance (h) used in the theorem is the distance from the center of mass to the new axis of rotation. By applying the theorem, the total moment of inertia can be calculated as I = I(cm) + Mh^2. This approach effectively allows for determining the moment of inertia when the axis is not at the center of the rod.
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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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