Moment of inertia for inclined plates

1. Apr 27, 2012

abhisheak

What is the moment of inertia of a rectangular plate making an angle except right angle or multiple of right angle with it's axis which is passing through the centroid of the plate?

2. Apr 27, 2012

suhasm

Just take the projection of the rectangular plate along the plane perpendicular to the axis of rotation. And now find the MOI of the projection using regular techniques. That will give you the MOI.

This works because displacing any component of a system of particles , parallel to the axis , cannot change the MOI.

3. Apr 27, 2012

andrien

do it in ordinary way by direct integration.you should know that the quantity is a tensor and transformation law for it is different.if product of inertia is zero then

I=Ixxcos^2(theta)+Iyysin^2(theta)

4. Apr 27, 2012

abhisheak

5. Apr 27, 2012

K^2

Keep in mind that you are dealing with an axis that isn't a principal axis of that body. So if you try to find angular momentum using L=Iω, for example, you'll get an incorrect result. It is adequate for computing angular acceleration from torque or rotational kinetic energy, however.

6. Apr 27, 2012

kajeeva

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7. May 3, 2012

abhisheak

could any one please work this for me?

8. May 3, 2012

abhisheak

please guide me in doin this ..... got mad in finding out

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