Two slender bars AB, each of mass m and length l, are pivoted at A to the plate. The plate rotates in the horizontal plane about a fixed vertical axis through its center O and is given a constant angular acceleration . (a) Determine the force F exerted on each of the two rollers as the assembly starts to rotate. (b) Find the total force on the pin at A and show that it remains constant as long as F > 0. (c) Determine the angular velocity ω at which contact with the rollers ceases.
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