Finding tension in cords with given resultant force

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Homework Help Overview

The problem involves determining the tension in a second cord used to drag a crate across a horizontal surface, given the resultant force acting on the crate and the tension in the first cord. The context includes concepts from vector addition and force components.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of vector addition to analyze the forces acting on the crate. Some express uncertainty about how to calculate the tension in the second cord and the components of the resultant force. Sketches are shared to aid understanding.

Discussion Status

Participants are actively engaging with the problem, sharing sketches and discussing the application of vector addition. Some guidance has been provided regarding the calculation of force components, although there is no explicit consensus on the correctness of the sketches or methods used.

Contextual Notes

There is mention of potential confusion regarding the clarity of the problem setup and the relationship between the forces involved. The discussion reflects a lack of complete understanding of vector addition among some participants.

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Homework Statement


A crate is being dragged across a horizontal icy sidewalk by two people pulling horizontally on cords. the net horizontal force on the crate is 56N 16 degrees S of E. The tension in cord 1 is 27N [E]. if friction is negligible, determine the tension in cord 2

Homework Equations



use component method

The Attempt at a Solution



like i don't know how to get the tension 2
 

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The resultant force and the force in cord 1 is given. Draw a sketch. Tell us what you know about vector addition.
 


PhanthomJay said:
The resultant force and the force in cord 1 is given. Draw a sketch. Tell us what you know about vector addition.

well here is my sketch don't know if it is right or not and to be honest i do not know much about vector addition just that when you have all your forces on the x or y you add them together
 

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jasonbans said:
well here is my sketch don't know if it is right or not and to be honest i do not know much about vector addition just that when you have all your forces on the x or y you add them together
The problem is perhaps a bit unclear. The forces are applied parallel to the ground. The resultant force (the sum of the 2 vectors) is given. What you have shown as T2 is actually the resultant force. You must calculate the x and y components of the resultant force. Then the x components of each of the cord forces add up to give the x comp of the resultant, and the y comp of each cord force add up to the y comp of the resultant. This will allow you to solve for the x and y comp of T2, from which you can find the mag of T2.
 


can you draw an example?
 
Last edited:


PhanthomJay said:
The problem is perhaps a bit unclear. The forces are applied parallel to the ground. The resultant force (the sum of the 2 vectors) is given. What you have shown as T2 is actually the resultant force. You must calculate the x and y components of the resultant force. Then the x components of each of the cord forces add up to give the x comp of the resultant, and the y comp of each cord force add up to the y comp of the resultant. This will allow you to solve for the x and y comp of T2, from which you can find the mag of T2.

is my diagram correct? Nvm i finally figured it out thank you for the help
 

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