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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: moment of inertia
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jain108 (442)

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four solid spheres(radius=r) r present at the corners of  a sq.  .
what is the moment of inertia abt axis passing through any side
 
note the outer spheres r just revolving not rotating (inner ones i.e on the axis must be rotating)
    
karthik2007 (3733)

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This is the way to do it: For the spheres on the axis, note that the axis passes through the COM, so use the well known formula for MI. For the balls on the other two edges, Find the moment of inertia about the center of mass, and then use parallel axis theorem. It is a simple exercise, and I think you'll be able to do it. Please do invest some time on thinking over it and give it an honest attempt. If you are not able to get it, I will post the complete solution.

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jain108 (442)

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u r ans will be 8/5mr^2+2mR^2
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karthik2007 (3733)

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Is there any ambiguity in the answer? What is the side of the square by the way?

Will nip in at times to solve problems :)
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jain108 (442)

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side=R
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