Problem 3-25b - Vector difference - Part 4
Determine the vector that must be added to the sum of A and B in the figure to give a net displacement of 4.0kmW.
Accumulated Solution
Solution | Ax | Bx | Cx | Rx |
---|---|---|---|---|
(A) | 5.1cos71 | 6.8sin52 | Cx | −4 |
Solution | Ay | By | Cy | Ry |
---|---|---|---|---|
(B) | −5.1sin71 | 6.8cos52 | Cy | 0 |
5.1cos71+6.8sin52+Cx=−4−5.1sin71+6.8cos52+Cy=0
You should get:
Cx=−11kmCy=0.63km
The vector C has a length:
(A) −11+0.63=−10.4km
(B) [(−11)2+(0.63)2]1/2=11km
(C) [(−11)2+(0.63)2]=122km