Solution to Midterm Exam Fall 2008 (1)

Solution to Midterm Exam Fall 2008 (1) - MECHANICAL &...

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UNIVERSITY OF CALIFORNIA, LOS ANGELES MAE 101 STATICS AND STRENGTH OF MATERIALS Fall, 2008 INSTRUCTOR CHATTERJEE, A. K. MIDTERM EXAMINATION November 7, 2008 INSTRUCTIONS: SHOW ALL CALCULATIONS ON THESE PAGES. ATTACH ADDITIONAL PAGES AS NECESSARY. NAME ______ SOLUTION ________________________________________ Student ID ____________________________________
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Problem 1 (10+5+10) The tension in the cable AC is 10kN. Using the freebody diagram of joint A only , determine a. the tension in cable AB, b. weight of the suspended load c. magnitude of the reaction at the ball-and-socket joint O Ignore the weight of the boom OA. SOLUTION Unit vector along OA is uoa 0.8 0.6 0 = Unit vector along AC is uac 0.625 - 0 0.781 - = Unit vector along AB is uab 0.816 - 0.408 0.408 = Equilibrium Equation ROA.uoa+RAB.uab+W.ual = -TAC.uac Inverse matrix is cmat 1 - 0 0.75 1.25 0 1 - 0 2.449 2.5 2.5 = Coefficient matrix is cmat 0.816 - 0.408 0.408 0 1 - 0 0.8 0.6 0
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Solution to Midterm Exam Fall 2008 (1) - MECHANICAL &...

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