Force of Bar on wall

by QuarkCharmer
Tags: force, wall
 P: 1,035 1. The problem statement, all variables and given/known data How hard does the beam push inward on the wall? 2. Relevant equations 3. The attempt at a solution I know that the tension on the cable is 1.32*10^4 N From there I turned the weight and tension into x/y components and tried to add the x components, so that: 1.32*10^4cos(40) + 14700sin(30) = 17461.79 N I don't understand why this is not correct?
 Sci Advisor HW Helper PF Gold P: 6,039 what is the weight and length of the bar?
 P: 1,035 Sorry, the bar is 8m long, and 1500kg.
 Sci Advisor HW Helper PF Gold P: 6,039 Force of Bar on wall There are no z components, only x an y components. The weight has a y component only. The tension force has x and y components. The force of the wall on the bar has x and y components. Use Newton 1 in the x and y directions to solve for the x and y components of the wall force on the bar. Your tension force is correct.
 P: 1,035 Thanks for taking the time to respond Jay, That z component was a typo, I meant to say x-component. I believe I did what you described above. I got the reaction force as shown in this image: (increasing x is down an left) What exactly am I doing incorrectly?
 Sci Advisor HW Helper PF Gold P: 6,039 The reaction force at the wall is not directed parallel to the bar...that only occurs for 2 force members , like the cable. You'll have to include the componets perpendicular to the bar also. You also do not have to break up the components into forces parallel and perpendicular to the incline, although that is acceptable. But you can also look at just x and y (horiz and vert) components.
 Mentor P: 11,683 The bar presses on the wall at an angle (30° to the horizontal). Some of the force is directed downward (pushing the wall down into the ground), some is directed "inward".
 P: 1,035 Like this? This solution of 13000 N is also incorrect. I'm not sure what you mean by breaking it up into components perpendicular to the bar. I didn't think that I could use torque to find the force for this question. Alternatively, 17461.8cos(30), my original reaction force that was angled to the wall, resolved into it's x component, produces 15122.36?
HW Helper
PF Gold
P: 6,039
 Quote by QuarkCharmer Like this? This solution of 13000 N is also incorrect.
that's the x component.. Now look in the y direction to get the y component.
 I'm not sure what you mean by breaking it up into components perpendicular to the bar.
that is what you did in your post 5. It is not necessary to do it this way.
 Alternatively, 17461.8cos(30), my original reaction force that was angled to the wall, resolved into it's x component, produces 15122.36?
No, that is the wrong way to do it. Your x component is now corrrect; solve for the y component in a similar manner using newton 1.
 P: 1,035 Okay, so: $$mg-R_{y}-Tsin(80)=0$$ $$R_{y} =mg-Tsin(80)$$ $$R_{y} =1500(9.8)-(1.32*10^{4})sin(80)$$ $$R_{y} = 1700.54$$ So now my Y component is: 1700 N, and my x is 13000 N. Do they want the sum of the two for this "inward" force from the bar on the wall? It's not simply the x component as I initially thought. Thanks.
 Sci Advisor HW Helper PF Gold P: 6,039 That should be T sin 10 for the vert comp of the tension force. Then once you correctly solve for Ry, you have to add them up vectorially (not algebraically) to get the total force at the wall, using Pythagoras.
 P: 1,035 I get 17970.9 N from the vector sum of the two. Does that seem right? Now I need to go back and re-analyze how I am approaching these problems. I have no problems with torque and such, but this one, idk what my problem is. Thank you all for the help.
 Sci Advisor HW Helper PF Gold P: 6,039 Yes, 18,000 N. These problems are generally all analyzed the same way.....sum of forces in x direction, sum of forces in y direction, and sum of torques about any point, all = 0.

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