Quick Statics Problem (equi. systems)

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lc99
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Homework Statement


Diagram of two equivalent force systems: a beam with downward forces F1 and F2 placed 1 m and 3 m from the left end, and a beam with a single downward resultant force FR at distance x from the left end, with answer choices a to e listed.


Homework Equations

The Attempt at a Solution


I am getting 5/2 m as the answer.
(not a choice)

FR = -F1 -3F1 = -4F1
Mo = -F1(1) - 3F1(3) = -10F1
Mo = FRx
x = -10/-4 = 5/2
 
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  • Diagram of two equivalent force systems: a beam with downward forces F1 and F2 placed 1 m and 3 m from the left end, and a beam with a single downward resultant force FR at distance x from the left end, with answer choices a to e listed.
    upload_2018-4-29_0-32-57.png
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lc99 said:
FR = -F1 -3F1 = -4F1
Mo = -F1(1) - 3F1(3) = -10F1
Mo = FRx
x = -10/-4 = 5/2
Your answer of 5/2 m looks correct to me.
 
Once again the correct answer does not appear in the textbook. Be not discouraged. It happens all the time. Your answer appears to be correct.
 
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