The rod assembly has a weight of 5 lb/ft. It is supported at B by a smooth journal bearing, which develops x and y force reactions, and at A by a smooth thrust bearing, which develops x, y, and z force reactions. If a 50-lb · ft torque is applied along rod AB, determine the components of reaction at the bearings when the assembly has an angular velocity ω = 10 rad/s at the instant shown.

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4 ft 2 ft Z w = 10 rad/s B 50 lb-ft -2 ft- 3 A 2 ft