Question

The resultant of two forces make 30 and 60° angles
with them and has magnitude 40 N. The magnitude
of two vectors are :-
(1) 20/3N, 20N
(2) 30N, 20/3N
(3) 40N, 30N
(4) 313 N, 40/3N​

Answer 1

Answer:

the  resultant of two forces make 30 and 60 degree angles are

Explanation:

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)

2x=40x=20

So, the other forces are 20 and  203–√

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