3 A uniform bar of mass m, length 8, and inertia IG = leZ/ 12 is released from rest as shown with 9 = 30. At end A, the bar is connected to a...

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3 A uniform bar of mass m, length 8, and inertia IG = leZ/ 12 is released fromrest as shown with 9 = 30°. At end A, the bar is connected to a masslessroller. Assume a kinetic coefficient of friction u at end B. Express the following i.t.o. m, u, g, and E. Also, let FA and FB represent thenormal reaction forces exerted on the bar at points A and B, respectively. a) Express the acceleration a_‘G i.t.o. j, j, G, and its derviatives (é ,é).[10 points] b) Perform an angular momentum balance to derive a relationshipbetween F A, FB, 9, and its derivatives. YOu are free to do this aboutwhichever point you wish. [10 points] c) Perform the linear momentum balance in the x- and y- directions toderive two additional relationships. [10 points]