COSMOS Chapter 4 Solution 107 | Answer Key - Edubirdie

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Michigan State University
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ERG 160 | Success in Science, Technology, Engineering, and Mathematics
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2024
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2
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Lamghari6kx

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 107. Free-Body Diagram: ΣM B = 0: or rBA × TA + rBC × TC + rBO × WAB + rBF × WBD + rBG × WAD = 0 ( ) 3   L 3 L  1  − Li × TA j +  − 4 i + Lk   × TC j − i ×  − Wj    4 2  tan 60°   3     L   1   3L   1  3 3 +  − i + Lk  ×  − Wj  +  − i + Lk  ×  − Wj  = 0 4 4  4   3   4   3  or − LTAk − 3 3 L L 3 L 3 LTC k − LTC i + Wk + Wk + LWi − Wk + LWi = 0 4 4 6 12 12 4 12 Equating the coefficients of the unit vectors to zero: i: W 3 W 3 3 L+ L − TC L = 0 3 4 3 4 4 TC = k: 2W 3 3 − TA L + TA = W 3L W L W L 2W 3 L + + − =0 3 4 3 4 3 2 3 34 3 W 3 continued COSMOS: Complete Online Solutions Manual Organization System ΣFy = 0: TB + TB = W 2W + −W = 0 3 3 3 2 1  1 − W 3 3 Therefore: TA = TB = W 3 2 1  1 − W 3 3 TC = 2W 3 3

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