Posted by **Joseph** on Friday, December 31, 2010 at 5:38am.

2 forces acting at a point make angles of 25 and 65 degrees respectively with their resultant which has a magnitude of 150 N .Find the magnitude of the two components.

- Physics -
**drwls**, Friday, December 31, 2010 at 7:36am
The two components lie on opposite sides of the resultant. Call them a and b. Let a be the vector that is 25 degrees from the resultant.

Then these two equations must be satisfied:

a cos25 + b cos65 = 150

a sin25 - b sin65 = 0

a/b = sin65/sin25 = 2.1445

1.9436b + 0.4266b = 150

This leads to b = 63.39 and a = 135.95

The units of a and b are Newtons, since we are adding forces with reulstant 150 N.

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