Assume that over 1 second, the inertia of a system falls according to the equation J =

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Assume that over 1 second, the inertia of a system falls according to the equation J = 0.002  0.001t. Further, assume the speed starts at zero and accelerates at a rate of 2000 rad/sec2. At what maximum velocity will the variation be “slow”; here, slow variation is defined as when ω × dJ/dt is no larger than 25% of J × du/dt.

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