At a given instant gears A and B have the angular motions shown. Determine the angular acceleration of gear C and the acceleration of its center point D at this instant. Note that the inner hub of gear C is in mesh with gear A and its outer rim is in mesh with gear B.

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Given: rad OB = 1- rad 2 aB = 6- S S TA = 5 in A = 4 = 8 αA = rad S rad 2 S TC = 10 in rc "D= 5 in