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An acrobat has a weight of 150 lb and is sitting on a chair which is perched on top of a pole as shown. If by a mechanical drive the pole rotates downward at a constant rate from theta=0 degrees, such that the acrobat's center of mass G maintains a constant speed of v(a)=10 ft/s, determine the angle theta at which he begins to fly out of the chair. Neglect friction and assume that the distance from one pivot O to G is 15 ft.

An acrobat has a weight of 150 lb and is sitting on a chair which is perched on top of a pole as shown. If by a mechanical drive the pole rotates downward at a constant rate from theta=0 degrees, such that the acrobat's center of mass G maintains a constant speed of v(a)=10 ft/s, determine the angle theta at which he begins to fly out of the chair. Neglect friction and assume that the distance from one pivot O to G is 15 ft.