Find the components for F (AC)?

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Homework Help Overview

The discussion revolves around finding the components of a force in a physics problem involving vector addition. The context includes forces acting in specific directions and the need to achieve a resultant force of 500 lbs.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the initial steps needed to approach the problem, including identifying known forces and their directions. Questions arise regarding the calculation of components for the unknown force and the use of trigonometry to resolve forces into components.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the use of trigonometric functions to find force components, but there is no explicit consensus on the methods or formulas to be used.

Contextual Notes

Participants are navigating the challenge of working with unknown magnitudes and angles, which may affect their ability to find the necessary components. There is an emphasis on understanding the relationships between the forces involved.

sfgradv
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I don't know how to start off. What steps do I have to take to solve this problem? I am completely lost.
 

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You are given one force: 300 lbs acting in the C to A direction (the angle is given). You need to find out what force, acting in the B to A direction, that when added to the first force gives a resultant equal to 500 lbs.

Call the unknown force F. Now add the two forces (by adding their components). Set the magnitude of the resultant equal to 500 lbs to solve for F.
 
I have to find the components for F (AC)?
 
You need to find the components of both forces. But you are given the angles, so use some trig.
 
I am able to find the components for AC but how do I get the components for AB using the angles? Is there a formula for it?
 
You find the component for the force along BA the same way you found the components for the force along CA. The difference is that you don't know the magnitude of the BA force, but that's what you will solve for. Call the magnitude of that unknown BA force "F" (or some other symbol of your choice).
 

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