The uniform slender bar of length l and mass m is welded to the shaft, which rotates in...

The uniform slender bar of length l and mass m is welded to the shaft, which rotates in bearings A and B with a constant angular velocity ω. Determine the expression for the force supported by the bearing at B as a function of θ. Consider only the force due to the dynamic imbalance and assume that the bearings can support radial forces only.