Question

Two forces with magnitudes of 20
pounds and 14 pounds and an angle of
55° between them are applied to an
object. Find the magnitude of the
resultant vector to the nearest whole
number? pls, solve this for me:(

Answer 1

Answer:

Here's one way to simply find the magnitude of the resultant force- finding the angle of the resultant involves additional steps. If you need that as well, draw a parallelogram and use the Law of Cosines.

If you imagine a box being pulled buy the forces and assume 14# vector is pulling horizontally, the component form for it would be: 14i + 0j

From the same location that the14# force is pulling from, the 20# vector is also pulling but at a 55 degree angle higher. In component form, the 20# vector would be:

20 cos 55 i + 20 sin 55 j

Using vector addition, the resultant vector would be:

(14 + 20cos55) i + (0 + 20sin 55) j = 24.47 i + 16.38 j

The magnitude of the resultant vector: r= sqrt( 24.47^2 + 16.38^2) = 29 pounds

Answer 2

Answer:

two forces with magnitudes of 20 pounds and 14 pounds and an angle of 55 between them are applied to an object. find the magnitude of the resultant vector ...