Rotation Dynamics: Finding Tension and Force Components in a Hanging Beam System

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Homework Help Overview

The problem involves a uniform beam attached to a wall and supported by a cable, with a crate hanging from the beam. Participants are tasked with finding the tension in the cable and the force components exerted by the wall on the beam, within the context of rotation dynamics and equilibrium conditions.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the equilibrium of forces and the necessity of summing torques. There are questions about identifying forces and determining lever arm values. Some participants express uncertainty about the interpretation of "the wire" in the problem statement.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem, including torque calculations and the identification of forces. Some guidance has been offered regarding the approach to summing torques, but no consensus has been reached on the specific methods to apply.

Contextual Notes

Participants are working with a hypothetical beam length "L" and are considering the implications of equilibrium conditions on their calculations. There is a mention of a potential misunderstanding regarding the tension in the wire referenced in the problem.

shane1
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A 1220N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960N crate hangs from the far end of the beam. Using the data shown in the drawing, find (A) the magnitude of the tension in the wire and (B) the magnitude of the horizontal and vertical components of the force that the wall exerts on the left end of the beam.
http://img479.imageshack.us/img479/1285/physics5ie.png
There is the picture that I have drawn. I have no idea where to start on this question. Any help would be greatly apreciated.
Shane
 
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Start by identifying the forces acting on the beam. The beam is in equilibrium: What does that tell you about the forces?
 
If forces are in equilibrium then, the sum of all forces must equal 0. Also would I need to deal with the business of summing torques seeing as they are in equilibrium. If I did where would I get lever arm values?
 
Last edited:
shane1 said:
If forces are in equilibrium then, the sum of all forces must equal 0. Also would I need to deal with the business of summing torques seeing as they are in equilibrium.
Right!
If I did where would I get lever arm values?
Maybe you don't need them. :wink:
 
Also do you guys think that when it says "the wire" is it referring to the bottom part? The top part? or the whole thing?
 
By now they figure you know the tension in the BOTTOM wire ... "trivial".
It's the tension in the TOP wire that is the challenge (this chapter).

The way you get the lever-arm values is to call the beam length "L".

My suggestion: Sum Torques around the place with the most unknown F's
(so they're multiplied by zero lever-arm) ... like the hinge at the wall.
 
Hi guys,

Sorry for resurrecting a super old post, but ironically enough I have some more questions about this exact same problem...

So, if I give the beam a length value "L," I can find the torque caused by the crate force with 1906*L*Cos(30), is that right?

But then I'm stuck on how to find the other torque value and how to get the other lever-arm perpendicular to the force.

Maybe it's just late and I'm not thinking clearly, but any advice would be greatly appreciated!

-Paul
 

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