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The quarter-circular hollow tube of circular cross section starts from rest at time t =...

The quarter-circular hollow tube of circular cross section starts from rest at time t = 0 and rotates about point O in a horizontal plane with a constant counterclockwise angular acceleration ? = 2 rad/s2. At what time t will the 0.5-kg particle P slip relative to the tube? The coefficient of static friction between the particle and the tube is μs = 0.80.

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