Reaction force on a leaned beam

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SUMMARY

The discussion centers on calculating the reaction force on a leaned beam with a weight of 12 kN resting on a smooth floor and a rough edge. Using the moment equation F1L1=F2L2, the calculated reaction force at the edge is determined to be 7.5 kN, contrasting with a textbook value of 6.5 kN. The discrepancy arises from differing interpretations of the distances used in the calculations, specifically whether to consider horizontal or sloped distances. The participant expresses confidence in their calculation and suggests a potential misunderstanding in the problem's requirements regarding the total versus normal reaction force.

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Karol
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Homework Statement


A beam of 12[kN] is on a smooth floor on one side and on a rough edge on the other.
The total length of the beam is 10[m].
What is the reaction on the edge.

Homework Equations


Moments (torque): F1L1=F2L2

The Attempt at a Solution


I drew the forces. the reaction on the floor is vertical and also on the edge since there aren't horizontal forces.
Moments around point A:
$$12[kN]\cdot 5\cdot \cos 30^0=R\cdot\frac{4[m]}{\tan 30^0}\rightarrow R=7.5[kN]$$
In the book it's 6.5, i think it's a mistake
 

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I agree with 7.5kN.

Edit: looks like they took the horizontal distance for mg but the distance up the slope for the wall's reaction.
Edit 2: ... are you sure they wanted the total reaction, not just the normal reaction from the wall?
 
I am almost sure they want the total reaction.
I leave this problem since i have another one, a little more problematic
 

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