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Sahil Gupta's Avatar
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1 Apr 2009 20:32:22 IST
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Meachanics-Moment of Inertia
Kinematics , NewtonsLawsCirMotion , Work Power Energy collisions , Rotation , Gravitation , Simple Harmonic Motion , Fluid Mechanics , Materials Wave Sound , Super Position , units dimensions , com momentum , shm , wave sound

Calculate Moment of Inertia of the body as given in the image. I mean the question in te middle


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ABINASH's Avatar

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Joined: 20 Apr 2007
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2 Apr 2009 00:52:00 IST
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MI of the entire square (with the cut region included) about OX is :

                      abt the axis  to OX n passing thru the centre of the square. or abt the axis passin thru the centre and parallel to  OX.

                    Thus, using parallel axis thm, the MI of the bdy about OX is :

                

               The MI of the cut square is MI_1:

                                                 abt its centre n perpendicular to OX or abt the axis thru the centre parallel to OX.

                             Again using parallel axis thm the MI of the cut region abt OX is MI_2:

                                                       

                       So, the MI of the reqd obj is MI_1 - MI_2 =

                       Hope this helps...




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