Determine the resultant moment produced by forces F_B and F_C about point O. Express the result as a Cartesian vector.
Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.
Solution:
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To solve this question, we will be using part 1 and part 2 from the previous questions. Please refer to them if any part is confusing.
From part 1, we know that the moment produced by F_B is:
M_{O1}=\left\{-1800i\right\}N\cdot m
From part 2, we know that the moment produced by F_C is:
M_{O2}=\left\{1080i+720j\right\}N\cdot m
The resultant moment is then M_{O1}+M_{O2}:
M_{resultant}=M_{O1}+M_{O2}
M_{resultant}=\left\{-1800i\right\}+\left\{1080i+720j\right\}
M_{resultant}=\left\{-720i+720j\right\}N\cdot m
M_{resultant}=\left\{-1800i\right\}+\left\{1080i+720j\right\}
M_{resultant}=\left\{-720i+720j\right\}N\cdot m
Final Answer:
M_{resultant}=\left\{-720i+720j\right\}N\cdot m
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