CE 205 Midterm 1 - Fall 2006 CE205 T/Th/F Dis at(am/pm...

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Fall 2006 CE205 MidTerm#1 Name: So, Lut Ion____ T/Th/F Dis at ____(am/pm) SCID#:_____007_ ______(last 5 digits) Last, First 1) _______________ 2) _______________ 3) _______________ Total _______________ 1)(33pt) The couple acts on a pipe in the directions as shown. i) Find the moment of the couple acting on the pipe as: AB r F × ± ± . ii) Repeat i) by summing the moment of each force about the point O. iii) Find the projection of the moment along the axis OB. Give it as a vector. ( ) 0 0 0 .36 .49 0 0.6 0.6 / 0.85 0.92 0.3 0.7 0.7 0 .6(3) .4(2 i) 0.6 0 0.6 0.4 0(3) .4(6) 0.4 6 2 3 0(2) .6(6) B A B B B AB B A AB r r r u r i j k r r r r F = + = = = = = + = = × = = + ± ± ± ± ± ± ± ± ± ± 2.6 2.4 3.6 N m = ) 0.6 3.2 2.6 ii) 0 0 0.3 0 0.6 0.7 1.8 4.2 2.4 6 2 3 6 2 3 0 3.6 3.6 A B i j k i j k r F r F N ×− + × = + = + =
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