The magnitudes of the four displacement vectors shown in the drawing are A = 10.
ID: 2127670 • Letter: T
Question
The magnitudes of the four displacement vectors shown in the drawing are A = 10.0 m, B = 11.0 m, C = 12.0 m, and D = 21.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.
magnitude m directional angle The magnitudes of the four displacement vectors shown in the drawing are A = 10.0 m, B = 11.0 m, C = 12.0 m, and D = 21.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.Explanation / Answer
Resolving forces we get
Horizontal force=-10cos20-12cos35+21cos50=-5.728N
Vertical force=11+10sin20-12sin35-21sin50=-8.549N
Resultant=sqrt[(-5.728)^2+(-8.549)^2]
=10.29N
Angle =tan^-1(-8.549/-5.728)
=90-56.17=33.83 degrees
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