Assume that you attend a state university that started out as an agricultural college Close to the center of the campus is a tall silo topped with a hemispherical cap The cap is frictionless when wet Someone has somehow balanced a pumpkin at the highest point The line from the center of curvature of the cap to the pumpkin makes an angle i 0 with the vertical While you happen to be standing nearby in the middle of a rainy night, a breath of wind makes the pumpkin start sliding downward from rest It loses contact with the cap when the line from the center of the hemisphere to the pumpkin makes a certain angle with the vertical What is this angle

Question: Assume that you attend a state university that started out as an agricultural college. Close to the center of the campus is a tall silo

Assume that you attend a state university that started out as an agricultural college. Close to the center of the campus is a tall silo topped with a hemispherical cap. The cap is frictionless when wet. Someone has somehow balanced a pumpkin at the highest point. The line from the center of curvature of the cap to the pumpkin makes an angle θi = 0° with the vertical. While you happen to be standing nearby in the middle of a rainy night, a breath of wind makes the pumpkin start sliding downward from rest. It loses contact with the cap when the line from the center of the hemisphere to the pumpkin makes a certain angle with the vertical. What is this angle?

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