Thekinetic energyof the disk is the sum of thekinetic energyof the motion of thecenter of mass ½mv CM 2= ½mr 2 ω 2, and thekinetic energyof the motion about the center of mass, ½Iω 2. Thee totalkineticenergy is . KE tot = ½mr 2 ω 2 + ½Iω 2 = ½[mr 2 + I]ω 2 = ½[m + I/r 2]v 2. Example: Assume the wheel is a uniform disk. The moment of inertia I of a uniform disk about an axis perpendicular to the …
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