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A pencil is set spinning in an upright position. How fast must the spin be for the pencil to remain in the upright position? Assume

A pencil is set spinning in an upright position. How fast must the spin be for the pencil to remain in the upright position? Assume that the pencil is a uniform cylinder of length a and diameter b. Find the value of the spin in revolution per second for a = 20 cm and b = 1cm.

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