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.

## Answer this Question

## Related Questions

- Precalculus - Okay I posted this before but I am still not sure. How would you ...
- PHYSICS - the sum of the magnitude of two forces acting at a point is 18 and the...
- physics - describe the force board experiment to show how to obtain the ...
- Math - Two forces of magnitude 15N and 4root2N are acting in the directions 3i-...
- Precalculus - Okay I am soo confused with these two questions: The resultant of ...
- math/physics - Forces with magnitudes of 2000 newtons and 900 newtons act on the...
- Physics(thank you for the help) - 1) A baby elephant is stuck in a mud hole. To ...
- physics - two forces whose magnitude are in the ratio 3:5 give a resultant equal...
- Math - An object is acted upon by two forces, u and v, with direction angles €u ...
- Trigonometry - Find the magnitude and direction of the resultant of two forces ...

More Related Questions