Finding tension in cords with given resultant force

[jasonbans]

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

 

[PhanthomJay]

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

 

[jasonbans]

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

 

[PhanthomJay]

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.

 

[jasonbans]

can you draw an example?

 

[jasonbans]

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