SOLUTION: <p>Two forces <strong>429 N</strong> and <strong>591 N</strong> act on an object. The angle between the forces is <strong>46&deg;</strong>. Find the <span style="text-decoration: u

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Question 1102869:

Two forces 429 N and 591 N act on an object. The angle between the forces is 46°. Find the magnitude of the resultant and the angle that it makes with the larger force.


Thank you friends
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Here is a representation of the two forces and their resultant,
:

The rest is trigonometry.
You could use law of cosines and law of sines,
but I would favor just calculating the horizontal and vertical components.
The 429N force can be seen as the sum of
a horizontal component of magnitude , and
a vertical component of magnitude .
The 591N force an be seen as the sum of
a horizontal component of magnitude , and
a vertical component of magnitude .
Adding up components, you get the horizontal and vertical components,
and
--> .
.
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