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## Homework Statement

Given the following structure, determine the value of

**F**such that the resultant couple moment on the structure is 200 pound-feet clockwise.

I'm not looking for help here per se, just if this is a valid method of solution:

Because the moment of a couple is a free vector, it seems to me that the moments of the two couples can be placed at point B without any problem.

Then it would also make sense to me that: [itex]M_{\text{couple with F}}=F\cdot 2\sqrt{2}[/itex] pound-feet clockwise, and [itex]M_{\text{150 lb couple}}=600\sqrt{2}[/itex] pound-feet counterclockwise, which gives me that [itex]F\cdot 2\sqrt{2}-600\sqrt{2}=-200[/itex], which implies that [itex]F=229 \text{ lb}[/itex].

Is this a valid method of solution? It makes sense to me, but I'm not sure if it makes sense to anyone else.

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