How do I solve this problem? Finding the resultant vector

AI Thread Summary
To find the resultant vector from a series of displacements in the xy-plane, the displacements of 60 mm in the +y-direction, 30 mm in the -x-direction, 40 mm at 150°, and 50 mm at 240° need to be resolved into their components. The user initially calculated the components incorrectly, particularly for the -x direction. After correcting the x-component of the second vector to -30 mm, the resultant displacement was confirmed to be 97 mm at an angle of 158°. The discussion emphasizes the importance of accurately breaking down vector components for correct calculations.
a321
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Homework Statement



Starting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the Ñx-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically and algebraically.

Homework Equations



Addition of vector components

The Attempt at a Solution



I tried to break it into components:
Ax=0
Bx=30
Cx=-34.6
Dx= -25

Ay=60, By=0, Cy=20, Dy=-43.3

However The answer is 97mm at 158°
How did they get this answer?

THANKS for your help!
 
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welcome to pf!

hi a321! welcome to pf! :smile:

shouldn't Bx be minus 30 ? :wink:​
 
Oh wow! Yes you are right! thanks so much!
 

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