Engineering Statics Question Regarding Finding Normal Force

AI Thread Summary
The discussion revolves around calculating the normal force exerted by a wall on a beam in equilibrium. Initially, a participant calculated the normal force as 259.8N using a moment equation but later recognized the need to account for the angle of the force relative to the beam. After reevaluating the problem, they derived a new equation, resulting in a normal force of 300N. The conversation highlights the importance of considering the direction of forces and their components in statics problems. The final consensus confirms that the calculations are correct, emphasizing the need to clarify the force's direction.
Temp0
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Homework Statement


http://i.imgur.com/rwbXqW8.png


Homework Equations





The Attempt at a Solution


So I started off by analyzing the pulley, and determined that each cable carries 100N of force. After that, I drew the FBD of the beam, where there is a 100N force going downwards on the right end and the normal force perpendicular to the beam on the left end. I took the moment about point B, and since this is in equilibrium, the moment should be zero. Therefore I came up with the equation:

-100cos(30)(0.3) + Nwall (0.1) = 0
Where Nwall is the normal force provided by the contact with the wall.
I came up with the answer 259.8N, can anyone check my work please? Thank you in advance.
 
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Temp0 said:

Homework Statement


http://i.imgur.com/rwbXqW8.png


Homework Equations





The Attempt at a Solution


So I started off by analyzing the pulley, and determined that each cable carries 100N of force. After that, I drew the FBD of the beam, where there is a 100N force going downwards on the right end and the normal force perpendicular to the beam on the left end. I took the moment about point B, and since this is in equilibrium, the moment should be zero. Therefore I came up with the equation:

-100cos(30)(0.3) + Nwall (0.1) = 0
Where Nwall is the normal force provided by the contact with the wall.
I came up with the answer 259.8N, can anyone check my work please? Thank you in advance.
If the normal force at the left end was perpendicular to the beam, then there would be a component of that force acting parallel to the wall. But the wall is frictionless. So...?
 
Yeah I noticed my mistake, the beam will create a contact force that's perpendicular to the wall and I need to figure out the angle for the component perpendicular to the beam where I can then take the moment.
 
Temp0 said:
Yeah I noticed my mistake, the beam will create a contact force that's perpendicular to the wall and I need to figure out the angle for the component perpendicular to the beam where I can then take the moment.
Yes, that will work.
 
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So, for my final equation, I found that the normal force of the wall is 30 degrees from the perpendicular component to the beam, so I have:
The sum of moments about point B = Nwall cos30 (0.1) - 100cos30(0.3) = 0
Getting an Nwall of 300.
 
Temp0 said:
So, for my final equation, I found that the normal force of the wall is 30 degrees from the perpendicular component to the beam, so I have:
The sum of moments about point B = Nwall cos30 (0.1) - 100cos30(0.3) = 0
Getting an Nwall of 300 N .

Looks good!
I suppose you should indicate its sense...whether the force of the beam on the wall perpendicular to the wall is acting up and to the left or down and to the right... ?
 

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