The plank has a weight W, center of gravity at G, and it rests on the two sawhorses at A and B. If the end D is raised a distance c above the top of the sawhorses and is released from rest, determine how high end C will rise from the top of the sawhorses after the plank falls so that it rotates clockwise about A, strikes and pivots on the sawhorses at B, and rotates clockwise off the sawhorse at A.

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Given: W = 30lb b = 1.5ft 3ft c = 2ft a = 3ft