Posted by **Ariza** on Sunday, May 2, 2010 at 7:39pm.

A force of 200 N is resolved into two vector components of 150 N and 80 N. Are these rectangular vector components? Justify your response. If they are not, determine the directions of the components.

- Calculus -
**MathMate**, Sunday, May 2, 2010 at 7:52pm
The two components and the negative of the resultant form a set of forces in equilibrium, therefore these forces (vectors) form the side of a closed triangle.

The three lengths (sides) are known (200,150,80), thus the angle can be found by the cosine rule:

x=cos(A)=(b²+c²-a²)/(2bc)

If cos(A) equals zero, the forces are perpendicular to each other. If not, angle A is given by cos^{-1}x.

Note that if x<0, then A>90°.

## Answer This Question

## Related Questions

- Physics - partscoretotalsubmissions1--10/12--10/13--10/14--10/1----4--The tail ...
- PHY - The components of a vector V can be written (Vx, Vy, Vz). What are the ...
- physics - Position vector r has magnitude of 14.8m and direction angle 240 ...
- Physics - Vector V1 is 6.6 units long and points along the negative x axis. V2 ...
- Physics - The velocity vefot of a ball is v(t)=-3x+4y at any time. Its initial ...
- physics - The components of a vector V are often written (Vx, Vy, Vz). What is ...
- Physocs- Components of Resultant Vectors - The force vector A has components Ax...
- physics--vectors - the components of a vector V can be written (Vx,Vy,Vz). what ...
- physics - Vector is 6.3 units long and points along the negative axis. Vector is...
- physics - Vector is 6.3 units long and points along the negative axis. Vector is...

More Related Questions