The 2-lb gear A is constrained to roll on the fixed gear B, but is free to rotate about axle AD. Axle AD, of length 20 in. and negligible weight, is connected by a clevis to the vertical shaft DE which rotates as shown with a constant angular velocity ω1. Assuming that gear A can be approximated by a thin disk of radius 4 in., determine the largest allowable value of ω1 if gear A is not to lose contact with gear B.

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D 30 MURLE L = 20 in F-4 in