Determine the resultant moment produced 2


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

Determine the resultant moment produced

Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.

Solution:

Show me the final answer↓

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

 

Final Answer:

M_{resultant}=\left\{-720i+720j\right\}N\cdot m

 

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 4, question 4-34.

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