Two forces 40 N and 60 N are acting at a point by making an
angle 30° to each other. Find magnitude and direction of
resultant vector.
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Answer:
Red line =F1N
Blue line =F2N
Green line =40
Now, we can do it in a couple of ways, but notice the 30–60 ? If we join the red and blue line, it will make a right triangle, with the hypotenuse being the resultant. (Using θ=90 , in the cosine rule)
Recall the 30–60–90 ratio, it is (1:3–√:2)
Using a scalar constant x , (x:3–√x:2x)=(F1,F2,40)
So, the other forces are [math]20[/math] and [math]20\sqrt 3[/math]
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