SOLUTION: Two forces of 40lbs and 20lbs on an object. The angle is 40 degrees between them. What is the angle between the Resultant force and the larger force?

Algebra.Com
Question 282781: Two forces of 40lbs and 20lbs on an object. The angle is 40 degrees between them. What is the angle between the Resultant force and the larger force?
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
Two forces of 40lbs and 20lbs on an object. The angle is 40 degrees between them. What is the angle between the Resultant force and the larger force?




To draw the resulting force, complete a paralellogram
by drawing a line through each arrowhead parallel to
the other vector.  I'll draw them in green.  Notice
the angle marked  is so marked because it
is supplementary to the  angle, and .:



Now I'll draw in the resultant R in red:



In the lower triangle we have a case of SAS, so we
use the law of cosines first to find the magnitude
of the resultant R (the red vector).







Now we use the law of sines:











Edwin

RELATED QUESTIONS

Two forces of 40 pounds and 20 pounds, respectively, act simultaneously on an object. The (answered by Edwin McCravy)
Two forces act on a point on the plane. The angle between the two forces is given. Find... (answered by Edwin McCravy)
please help me on my homework. i really need your help 1. the resultant of two forces... (answered by Alan3354)
Two forces with a magnitude of 77 pounds and 45 pounds and an angle of 43 degrees between (answered by ikleyn)
two equal forces each of magnitude 34n acts on a body. calculate the magnitude and the... (answered by ikleyn)

Two forces 429 N and 591 N act on an object. The... (answered by KMST)


Two forces have magnitudes of 21 N and 24 N and the angle between them is 65°. Find the... (answered by ikleyn)
the resultant of two forces acting at right angles to each other is 80 degrees N. If one... (answered by CPhill,ikleyn)
Two forces have magnitudes of 38 N and 29 N and the angle between them is 156°. Find the... (answered by ikleyn)