Solve Statics on a Ramp: Find Cable Force & Pin Hinge A

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Discussion Overview

The discussion revolves around solving a statics problem involving a ramp and a cable force, specifically determining the cable force required to ensure the reaction at a point is zero, as well as finding the horizontal and vertical components of a pin hinge. The scope includes mathematical reasoning and technical explanations related to equilibrium in statics.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant states that the ramp weighs 200 lb and proposes that the tension in the cable is 173.2 lb, while referencing a textbook answer of 195 lb for the cable force.
  • Another participant suggests that setting up equations of equilibrium for all directions is necessary to solve the problem, along with considering the sum of all moments with respect to any point.
  • Several participants request and provide illustrations related to the problem, indicating a need for visual aids to clarify the setup.

Areas of Agreement / Disagreement

There is no consensus on the correct value of the cable force, as participants reference different values (173.2 lb and 195 lb). The discussion remains unresolved regarding the setup of equations and the interpretation of the problem.

Contextual Notes

Participants have not fully detailed their assumptions or the specific definitions they are using, which may affect the interpretation of the problem. There are also unresolved mathematical steps in the setup of the equations of equilibrium.

kahless2005
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Given: A ramp which is sitting as illustrated below. The ramp weighs 200 lb.
http://img165.imageshack.us/img165/8601/problem523fe4.th.png

Find 1: Cable force (line CD) so that the reaction at point B=0.
Find 2: Determine the Horizontal and vertical components of pin hinge at point A

Solution: I know that all the forces lie in the y-direction.
I believe I have found the usual tension in tha cable to be 173.2 lb.
I know that all the forces will be in the y-direction.

How do I set up the equation?

(Answer from textbook: F(CD) = 195 lb.)

Solution 2: done.
A(x) = 97.5 lb.
A(y) = 33.4 lb.
 
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An illustration would be great.
 
I have one, look again
 
kahless2005 said:
I have one, look again

I don't see anything, unless there's something wrong with my computer. Anyway, the same old story regarding statics - set up the equations of equilibrium for every direction and see what you get. Also, the sum of all moments with respect to any point must equal zero, which may help too, perhaps.
 

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