Suppose the table in Figure P9.26 is extremely slippery so that there is no friction bet...

Suppose the table in Figure P9.26 is extremely slippery so that there is no friction between the table and the end of the pencil. As a result, the pencil slips as it tips over. Let denote the angular velocity of the pencil just before it hits the table, and denote the angular velocity found in Problem 26. What is the ratio

(reference problem 26)

A pencil (mass 10 g and length 15 cm) is initially balanced so that it is sitting vertically on a flat table as shown in Figure P9.26. 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.