Transcription of Statics FE review 032712
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FE Sta'cs review h0 Scroll down to: Sta'cs review - Slides Torch Ellio0 (801) 587- 9016 MCE room 2016 (through 2000B door) Posi'on and Unit Vectors Y (- 2,6,3). A rAB O x B .(5,- 1,2) z If you wanted to express a 100 lb force that was in the direction from A to B in vector form, then you would find eAB and multiply it by 100 lb. rAB = 7i - 7j k (units of length) eAB = (7i-7j k)/sqrt[99] (unitless) Then: F = F eAB F = 100 lb {(7i-7j k)/sqrt[99]} Another Way to Define a Unit Vectors Y F y O x x z z Direction Cosines The values are the angles from the coordinate axes to the vector F.
Couples F causes translation and, in general, rotation. Let –F be: • Equal in magnitude to F • Opposite direction of F • Not collinear with F. Then F and –F form a …
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