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A pencil (mass 11.3 g and length 16 cm) is initially balanced so that it is sitting vertically on a flat table as shown in the figure below.

A pencil (mass 11.3 g and length 16 cm) is initially balanced so that it is sitting vertically on a flat table as shown in the figure below. If the pencil then falls, what is its angular velocity just before it strikes the tabletop? Assume the mass of the pencil is distributed uniformly and the end of the pencil in contact with the table does not slip.

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