Resultant Force: Calculating Forces with Trigonometry for a 800N and 600N Object

AI Thread Summary
To calculate the resultant force of an 800N and a 600N object using trigonometry, the forces can be represented as vectors. The first force (F1) is vertical with coordinates (0, 800), while the second force (F2) has coordinates (600 cos(30), -600 sin(30)). The resultant force can be found by summing these vectors and calculating the diagonal of the parallelogram formed. The final calculation yields a resultant force of approximately 721.1N, which is confirmed to be within a reasonable range. Accurate calculations and vector addition are essential for determining the correct resultant force.
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I'm sure this problem is pretty trivial to most but apologies in advance, I'm just starting out sorry.

Homework Statement


F2-3.jpg


I'm not sure how to go about working this out due to the 800N

The Attempt at a Solution



F1 (800N) x-pos = 800 tan (90)?? , y-pos = ?
F2 (600N) x-pos = 600 cos(30) , y-pos = -600 sin(30)

Homework Statement

 
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You can draw the parallelogram of forces, and the diagonal length (from your starting point) is the net force.

Or you can complete their conversion to vectors; F1 = 800 j, where j is the unit vector in the y-direction. Your F2 looks correct ... so now add them together!
 
UltrafastPED said:
You can draw the parallelogram of forces, and the diagonal length (from your starting point) is the net force.

Or you can complete their conversion to vectors; F1 = 800 j, where j is the unit vector in the y-direction. Your F2 looks correct ... so now add them together!

so,

F1 (800N) x-pos = 0 , y-pos = 800
F2 (600N) x-pos = 600 cos(30) , y-pos = -600 sin (30)

sqrt (519.615)^2 + (500)^2 = 721.1 N

is that correct?
 
It's certainly in the correct range ... if you are unsure you should recheck your calculations.
 
UltrafastPED said:
It's certainly in the correct range ... if you are unsure you should recheck your calculations.

Ok Thank you for the help, greatly appreciated.
 
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