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MAE 101 F08 Quiz1 solns

MAE 101 F08 Quiz1 solns - MECHANICAL AEROSPACE ENGINEERING...

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MECHANICAL & AEROSPACE ENGINEERING DEPARTMENT UNIVERSITY OF CALIFORNIA, LOS ANGELES MAE 101 STATICS AND STRENGTH OF MATERIALS Fall, 2008 INSTRUCTOR CHATTERJEE, A. K. Quiz October 17, 2008 INSTRUCTIONS: SHOW ALL CALCULATIONS ON THESE PAGES. ATTACH ADDITIONAL PAGES AS NECESSARY. NAME ____ SOLUTION __________________________________ Student ID ____________________________________
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Problem 1 (5+5+10) (a) What are the differences between oblique components and rectangular components of a force? (b) Select the correct statements with explanations. 1 The rectangular component of a force F r along a direction ˆ a can be determined by taking the dot product h r ˆ F a or the cross product h r ˆ F a 2 The oblique component of a force F along a direction ˆ a can be determined by taking the dot product h r ˆ F a or the cross product h r ˆ F a . (c) At the instant shown, the Harrier’s thrust vector is T = 2400 ˆ i +17,100 ˆ j 600 ˆ k (lb), and its velocity vector is r v = 25 ˆ i +5 ˆ j 4 ˆ k (ft/s). Find the magnitude of T parallel and normal to r v . (These are the components of the airplane’s thrust parallel and normal to the
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