Question: There's an old trick to dry lettuce that involves putting lettuce into a pillowcase and spinning it around one's head in a horizontal circle.

There's an old trick to dry lettuce that involves putting lettuce into a pillowcase and spinning it around one's head in a horizontal circle. Remy has put a head of lettuce with a mass of 450 grams into a pillowcase 32 inches long, and spins it around his head such that it moves in a circle at constant speed. Let's simplify the situation by treating the lettuce as a point mass and assuming the mass of the pillowcase and water is negligible. 1. Draw a free body diagram for the head of lettuce. 2. The lettuce/pillowcase makes 1 rotation in 1 second. What angle does the pillowcase make with the vertical? 3. Would it be possible for the pillowcase to make a perfect 90 angle with the vertical? Explain your reasoning.

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