What is the Resultant Force of Multiple Vectors Acting on a Point?

AI Thread Summary
To find the resultant force of multiple vectors acting on a point, it is essential to perform vector addition by breaking down the forces into their x and y components. The forces given are 50N south, 75N north, 40N west, and 55N east. By treating south and west as negative and north and east as positive, the correct resultant can be calculated. The expected answer is 29N at an angle of 59 degrees north of east. Properly resolving the components will yield the accurate resultant force.
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Homework Statement



50N , 75N [N], 40N [W], and 55N [E] all act on a point. what is the resultant force?

Homework Equations





The Attempt at a Solution


I tried making w and s negative and n and e positive but that gave me 40N and the answer should be 29N, 59\circ N of E . help please??
 
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Hello,

I'm not sure how you got 40N [North?] but you have to perform vector addition. Basically, think of the vectors in terms of x and y components, with, like you said, S and W being negative, and you'll get an answer with both x and y components, so you have to figure out the angle it makes.
 
thank you ^^
 
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