Determine the resultant moment produced by forces F_B and F_C about point O. Express the result as a Cartesian vector.

#### Solution:

Show me the final answerâ†“

**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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