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HW6 - 4-41 The pole supports a ZZ-Ib traffic light Using...

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Unformatted text preview: 4-41. The pole supports a ZZ-Ib traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A. rA = { 12sin30°i + 12 cos30°j } ft 3 F = { —22k} lb F i j k i M4 = rA x F = 12 sln30° 12 cos30° 0 A l j 0 O -22 1 ra MA = {5229i + 1321} um Ans H1. Using Cartesian vector analysis, determine the resultant moment of the three forces about the base of the column at A. Take F. = {400i + mm + 120k} N. i J‘ k . (MAL = 0 o 12 = {—3.6i+‘4.8j}kN-m 400 300 120 i j k (MA)2 = o o 12 ={1.2i+1.2j}kN-m 100 -100 —60 i j k (MAL - 0 —1 0 = {0.5i} kNvm 0 o —500 MA, = —3.6 + 1.2 + 0.5 = —1.90 kNAm MA = 4.8 + 1.2 = 6.00 kN-m :3 ll 0 MA = {—1.90i + 6.00j} kN-rn Ans ...
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