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Denoting by rA the position vector of a point A of

Denoting by rA the position vector of a point A of a rigid slab that is in plane motion, show that (a) the position vector rC of the instantaneous center of rotation isWhere V is the angular velocity of the slab and A is the velocity of point A, (b) the acceleration of the instantaneous center of rotation is zero if, and only if,where α= αk is the angular acceleration of the slab.

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