FIRST: Use vector components to find the magnitude of each of these pulls and th

Question

FIRST: Use vector components to find the magnitude of each of these pulls and the direction of the smaller pull. Assume that the smaller pull has a component directed to the north.
Enter your answers numerically separated by a comma.

SECOND:Use vector components to find the magnitude of each of these pulls and the direction of the smaller pull. Assume that the smaller pull has a component directed to the south.
AND THE ANGLE east of south........
Enter your answers numerically separated by a comma.

Explanation / Answer

F1 = larger force, directed 25 degrees west of north
F2 = smaller force, directed d degrees east of north
F1 = 2*F2
F = total resultant force, 350 N, directed due north

Separate into East-West and North-South components.

The East-West equation looks like this:
0 = (F1)sin(25) + (F2)sin(d)
substituting F1 = 2 F2, we have:
(F2)sin(d) = 2(F2)sin(25)
Therefore, d = sin^-1 ( 2 sin(25) )

                    = 57.69 m

The North-South equation looks like this:
440 = (F1)cos(25) + (F2)cos(d)
440 = 2 (F2)cos(25) + (F2)cos(d)
F2 = 350 / ( 2cos(25) + cos(d) )
F2 = 149.12 N

* please post each question separately.

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