(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Question: The plate shown, picture is attached, is subjected to force F and 3 reaction forces R1 R2 R3. Find R1

2. Relevant equations

equations of equilibrium:

sum of Fx = 0

sum of Fy = 0

sum of moment about point O = 0

3. The attempt at a solution

sum of Fx = 0: (going right is positive)

-R1 - R2 + 3/5 R3 = 0

sum of Fy = 0: (going up is positive)

-56kN + 4/5 R3 = 0

so, R3 = 70kN

sum of moment about point O = 0 (going anticlockwise is positive)

R1 x (0.11m) - R2 x (0.11m) = 0

so, R1 = R2

therefore, R1 = R2 = 21kN

I am unsure of whether I have done this question correctly, in particular the moment about O.

Also, how do you figure out which direction the moment is in (anticlockwise/clockwise). As in, I took R1 x 0.11m as positive due to anticlockwise and

R2 x 0.11m as negative due to clockwise moment.

is this correct?

Thanks for any help you can offer!

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# Homework Help: Statics equilibrium question

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