Posted by **Ariza** on Tuesday, May 4, 2010 at 5:44pm.

Two forces, F1 and F2 act on an object and the angle between them is 60 degrees. Determine the magnitude and the direction of the resultant force FR relative to F1 if F1= 50 N and F2= 30 N.

- Calculus -
**Reiny**, Tuesday, May 4, 2010 at 6:47pm
Did you make a diagram?

I drew the 20 N line, and at its end drew the 50 N line with an angle of 120° between them.

(you should be familiar with the parallelogram resulting from the addition of 2 vectors with the diagonal representing the resultant R)

|R|^2 = 50^2 + 20^2 - 2(50)(20)cos 120°

= 2500 + 400 - 2000(-1/2)

= 3900

|R| = √3900 = appr. 62.45 N

now you can use the Sine Law to find the angle between either vector and the resultant.

## Answer This Question

## Related Questions

- Physics - a 150-N and 80-N force act upon an object. the angle between the two ...
- physics - "Only two forces act on an object (mass = 3.90 kg), as in the drawing...
- physics - "Only two forces act on an object (mass = 3.90 kg), as in the drawing...
- physics - Only two forces act on an object (mass = 4.20 kg), as in the drawing...
- math - two forces, one of 35 pounds and the other 62 pounds, act upon the same ...
- Math - Thanks in advance, these problems have been stumping me. Please include ...
- Physics - Two forces act concurrently on point P. One force is 85 N in a ...
- Pre calc - Thanks in advance, these problems have been stumping me. Please ...
- Pre-calc - Thanks in advance, these problems have been stumping me. Please ...
- Math/Physics - Thanks in advance, these problems have been stumping me. Please ...

More Related Questions