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

In summary, the beam is in equilibrium and the sum of all forces must equal 0. The beam has a length of 1220N and the crate has a weight of 1960N. The beam is supported by a cable. The forces acting on the beam are the weight of the crate and the force of the wall.
  • #1
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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  • #2
Start by identifying the forces acting on the beam. The beam is in equilibrium: What does that tell you about the forces?
 
  • #3
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?
 
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  • #4
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:
 
  • #5
Also do you guys think that when it says "the wire" is it reffering to the bottom part? The top part? or the whole thing?
 
  • #6
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.
 
  • #7
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
 

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

What is rotation dynamics?

Rotation dynamics is a branch of physics that studies the motion of objects as they rotate around a fixed axis. It involves the study of angular velocity, angular acceleration, and torque.

What is angular velocity?

Angular velocity is a measure of how quickly an object is rotating around an axis. It is typically represented by the symbol ω (omega) and is measured in radians per second.

What is angular acceleration?

Angular acceleration is the rate of change of an object's angular velocity. It is represented by the symbol α (alpha) and is measured in radians per second squared.

What is torque?

Torque is a measure of the force that causes an object to rotate about an axis. It is represented by the symbol τ (tau) and is measured in Newton-meters (Nm).

How is rotational motion different from linear motion?

Rotational motion involves the movement of an object around a fixed axis, while linear motion involves movement along a straight line. Additionally, objects in rotational motion have angular velocity and angular acceleration, while objects in linear motion have linear velocity and linear acceleration.

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