PHYS UN1401 Lecture Notes - Lecture 16: Angular Velocity, Parallel Axis Theorem, Xm Satellite Radio

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Consider a single mass m distance r from the mass rotating with angular velocity w around an axis that is at a axis m kinetic energy of mass. Now imagine that axis with radii r . I have a body with masses m r . =l ( mir , t marit . w. - - - - - - - - - - - i. - i i i i i. Break the mass into little pieces dm and calculate the moment of inertia di - Dm r for each piece , then add all the pieces together . I = fd i = fr - dm. Example : i dimensional eraser , mass m length l s. 12 case 2 : axis on the edge axis. The moment of center of mass . inertia of a body is smallest for an axis that passes through the. I passes through the wm while 2 does not.