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Answer should be symbolic:

A uniform rod is resting on a frictionless table when it is suddenly struck at one end by a sharp horizontal blow in a direction perpendicular to the rod. The mass of the rod is M and the magnitude of the impulse applied by the blow is J. (Use any variable or symbol stated above as necessary.)

(a) Immediately after the rod is struck, what is the velocity of the center of mass of the rod?

(b) What is the velocity of the end that is struck?

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