# F04_exam1 - frictionless. Find : a) Complete the free body...

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ME 270 - Fall 2004 Examination No. 1 PROBLEM NO. 1 Given : Force-couple system I shown below left is made up of four forces F 1 , F 2 , F 3 and F acting at points A, B, C and D, respectively, in addition to a couple M . Force F and couple M are known to have magnitudes of 200 lb and 900 ft-lb, respectively. Force-couple system II shown below right is made up of a force R at B and a couple M B , with R and M B , having known magnitudes of 300 lb and 600 ft-lb, respectively. Find : If System II is to be the equivalent force-couple of System I, what are the magnitudes of the forces F 1 , F 2 and F 3 ? 2ft C D B A 4ft 2ft F 3 F 2 F 1 F = 200 lb M = 900 ft-lb C D B A 53.13° R M B equivalent x y

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ME 270 - Fall 2004 Examination No. 1 PROBLEM NO. 2 Given : Pole OE is supported by a ball-and-socket joint at O and cables AC and BE. A downward vertical force F acts at end E. Consider the weight of the pole to be negligible and the ball-and-socket joint at D to be
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Unformatted text preview: frictionless. Find : a) Complete the free body diagram of the pole given below right. b) Resolve the forces of cables AC and BE on the pole in terms of their unknown magnitudes and known unit vectors. c) If F = 1000 lb, find the tension in cables AC and BE. 2 ft 2 ft 3 ft 3 ft 1.5 ft A B C E O F 1.5 ft x y z ME 270 - Fall 2004 Examination No. 1 PROBLEM NO. 3 Given : The truss shown below supports the applied loads at joints A, G and I. Find : Determine the load carried by members DE, DK and DJ. State whether these members are in tension or in compression . Note: A free body diagram must accompany each equilibrium equation used in your analysis. 3m A B C D E F O P G H I J K L M N R S 3m 3m 3m 3m 3m 4m 4m 4m 10 kN 10 kN 20 kN...
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## This note was uploaded on 09/08/2010 for the course ME 270 taught by Professor Murphy during the Summer '08 term at Purdue University-West Lafayette.

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F04_exam1 - frictionless. Find : a) Complete the free body...

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