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Name:__________________________________ your 800#: _____________________ Test #1 MEGR 2141 Dr. Tkacik 7 February 2012 What are the middle three numbers of your UNCC 800 number? Q= ______________ Problem #1). Calculate the force and moment reactions at the bolted base O of the overhead traffic-signal assembly. Each traffic signal weighs 80 lb, while the weights of the members OC and AC are “Q” lb (at G) and 120 lb respectively. “Q” lb Problem #2) The small sailboat may be tipped at its moorings as shown to effect repairs below the waterline. One attached rope is passed under the keel and secured to the dock. The other rope is attached to the mast and used to tip the boat. The boat has a total displacement with is equal to the total mass of 5000 kg with a mass center at G. The metacenter M is the point on the boat through which the vertical resultant of the buoyant forces passes, and GM is 0.8 m. Calculate the tension required to hold the boat in the position shown. Problem #3) Determine the external reactions at A and F for the roof truss loaded as shown. The vertical loads represent the effects of the supported roofing materials, while the diagonal ‘Q’ load force represents a wind load. ‘Q’ is your middle three 800 numbers in Newtons (N). 3a. Complete the Free Body Diagram 3b. What are the i and j components of ‘Q’? 3c. Write the Y equilibrium equation ΣFy = 0 = ? = 3d. ΣMA = 0 = ? = 3e. Vertical force at point F = Fy = ? = 3f. Ay = ? = 3g. Ax = ? = 3h. Fx = ? = Q (N)