2 forces, f sub 1 & f sub 2 are given. The angle between them is 57. Find the magnitude of the resultant?

Question

and the angle that it makes with the larges force. Solve analitically using the parallelogram of forces. f1 = 90 N, f2 = 100 N

Answer 1

First lets assign the direction of f(1) as being at 0 degrees, then f(2) is at 57 degrees.

Resolve both forces in x, and y

F(x) = f(1) + f(2) cos (57)

F(y) = f(2) sin (57) f(1) is at 0 degrees so has no y component.

The resultant force F = sqrt ( F(x)^2 + F(x)^2)

The angle of the resultant force

Arctan( F(y)/ F(x))

You do the number crunching

Answer 2

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Answer 3

Roadkill made the assumption of additive vectors. Can't solve wit out vector diagram.