Find Tension & Reaction Force for Bar with 600N Force Applied at 30 Degrees

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Discussion Overview

The discussion revolves around determining the tension in a rope and the reaction forces at a pin support for a bar subjected to a downward force. The scenario involves a bar connected at one end to a pin support and the other end tied to a rope, with a force applied at an angle. Participants are exploring the calculations needed to find these forces, including the components of the applied force and the geometry of the setup.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant provides initial calculations for tension and reaction forces, including values for tension, Bx, and By, but expresses uncertainty about how to find the tension in the rope and the reaction at point B.
  • Another participant asks for assistance in finding the answers, indicating a need for further clarification or guidance.
  • A third participant suggests summing moments about point A to find the vertical component of the tension and proposes summing forces in the vertical direction to find Ay, hinting at a relationship between the rope tension and its vertical component.
  • A fourth participant recommends taking moments about point B to find the rope tension and suggests that once the tension is known, summing forces in both the X and Y directions will yield the necessary reaction forces at point B.

Areas of Agreement / Disagreement

Participants appear to agree on the need to sum moments and forces to find the unknowns, but there is no consensus on the specific methods or calculations to be used, indicating that multiple approaches may be considered.

Contextual Notes

Participants have not fully resolved the calculations for the reaction forces or the tension in the rope, and there are assumptions regarding the geometry and force components that have not been explicitly stated.

lukasz08
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Tension = 386lb
Bx = 493lb
By = 186lb

I am having trouble trying to determine the tension in the picture. And the x and y component of B

i have a long bar that is 14 feet long. it is connected at 1 end at point B to a pin support and the other end is tied to a rope at point a.point a the rope has a angle of 30 degrees off of vertical. then i have a downward force of 600 N 30 degrees of the vertical 9 feet away from point B. how do i find the tension in the rope ?

the componets of the 600n force are as follows
-600sin30 = -300
-600cos30 = -519.615
if the rope is 5 feet from these componets how would i find the tension ? and what would be the reaction on point B ?

reaction of By = (-600cos30*5ft)/14ft = 185.6lb = 186lb
how do you find Bx and the tension at rope ?
 
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Does anyone know how to find the answers ?
 

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You determined By apparently by summing moments about A (unless you did it by trial and error). Now sum moments about B to determine Ay (the vertical component of the tension). Or sum the Fy forces = 0 to get Ay. The horizontal forces and rope tension can then be found. How is the rope tension and its vertical component related?
 
The forces are yet unknown at two points, namely tension T at A and reactions at B.
Take moments about B to find the tension T of the rope.
Once T is know, summing forces in X and Y will give you everything you need to know for the reaction at B.
 

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