Moment of Inertia of a uniform rectangular coil

  • Thread starter dpeagler
  • Start date
  • #1
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Homework Statement



A uniform rectangular coil of total mass 270 g and dimensions 1m x 5m is oriented perpendicular to a uniform 4.00-T magnetic field (the figure ). A current of 2.90 A is suddenly started in the coil.

Homework Equations



angular acceleration = torgue / moment of inertia

The Attempt at a Solution



Here is the image...

It rotates around axis 2

YF-27-45.jpg


I can't figure out how to find the moment of inertia of this shape. I know the basic formula, of moment of inertia and how you find it, but can't figure out how to tell how the mass is distributed. I'm pretty sure the parts of the rectangle that are parallel to the axis of rotation can be excluded, because they will cancel each other out, but the bars on the side are confusing me.

Any help is greatly appreciated.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
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I am assuming axis 2 is the horizontal axis.

So just use the formula for the moment of inertia about the x-axis for a rectangular lamina.

Also, it is uniform, the mass acts at the geometric center of the rectangle.
 

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