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GNG 1105 - ENGINEERING MECHANICS
Final Exam Duration: 3 Hour December 11, 2013 Page 1 of 3 Profs. A. Skaff, Y. Haddad, Ph. Girault, and A. Ahmed Closed book Examination. Only non- programmable calculators are allowed. All other electronic devices are not allowed. Solve ONLY four out of the five problems indicated below. 3m 3m 2m 2m 1m y z x B C D E A 1.2 KN Problem1. (25/100) A 1 𝑚 × 2 𝑚 sign of uniform density weighs 1.2 KN is held in place by a ball-and-socket support at point A and by two cables EB and DC. a) Write the tensions in cables EB and DC in vector form. b) Determine the tensions in cables EB and DC.
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Problem2. (25/100) The truss shown to the right is supported by a pin joint at A and a cable at point B. a) Determine the reaction at A and the tension in BH. b) Find the tension or compression in members FD, GD, and GE by the method of sections. Problem 3. (25/100) Lever ABC is attached to a pin joint at C and to a link BD as shown. A force of 500 N is being applied at point A as shown. a) Draw the free-body diagrams of lever ABC and link BD, as being disassembled from each other. b) Find all the forces acting on lever ABC. Problem4. (25/100) Block A is of mass 20 kg and block B is of mass 5 kg. The coefficient of static friction between block B and the vertical wall and block A and the floor is μs1=0. 30 , and the coefficient of static friction between the two blocks A&B is μs2=0.20. Determine the force P necessary for impending motion of block A. Page 2 of 3
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