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Quiz1_Solution

# Quiz1_Solution - MECHANICAL AEROSPACE ENGINEERING...

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MECHANICAL & AEROSPACE ENGINEERING DEPARTMENT UNIVERSITY OF CALIFORNIA, LOS ANGELES MAE 101 STATICS AND STRENGTH OF MATERIALS Spring, 2009 INSTRUCTOR CHATTERJEE, A. K. Quiz 1 April 16, 2009 INSTRUCTIONS: SHOW ALL CALCULATIONS ON THESE PAGES. ATTACH ADDITIONAL PAGES AS NECESSARY. NAME ________ S O L U T I O N ______________________________________ Student ID ____________________________________

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MAE-101: Quiz 1: Spring, 2009: Chatterjee, A., Page 2 of 5 x y z o F M P(x,0,z) (2,3,1) (3,1,2) Problem 1 (5+10+5) (a) Define a wrench, and write down the mathematical condition for a system of forces to reduce to a wrench at a point P. The given system of forces consisting of a single force F=17 N and couple M=42 N*m, reduces to a wrench passing through the point P. Determine (b) the location of the point P, and (c) the equation to the line of wrench. Solution to Problem-1 (a). A given system of forces reduced to a single force , , x y z F F F F and a single couple , , P Px Py Pz M M M M at point P, is said to form a wrench when F is parallel to P M . The
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