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The angular acceleration of the 600-mm-radius circular plate shown is defined by the relation \alpha={ \alpha }_{ 0 }{ e }^{ -1 } Knowing that the plate is at rest when t=0 and that { \alpha }_{ 0 }=10 rad/{ s }^{ 2 } , determine the magnitude of the total acceleration of Point B when (a) t=0, (b) t=0.5 s, (c) t=\infty.

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