Question 1196493: Using the component method, solve for the resultant vector given the
following:
A = 250 km, 35^o E of N
B = 120 km, 60^o W of N
Answer by ikleyn(52855) (Show Source):
You can put this solution on YOUR website! .
Using the component method, solve for the resultant vector given the
following:
A = 250 km, 35^o E of N
B = 120 km, 60^o W of N
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Make a sketch and mark the participating angles there.
We should present vectors A and B in component form, then add the components.
In component form, A = (Ax,Ay), where Ax is x-component of the vector A
(perpendicular to N-direction)
Ay is y-component of the vector A
(along N-direction)
Ax = |A|*sin(35°) = 250*sin(35°),
Ay = |A|*cos(35°) = 250*cos(35°).
Similarly for vector B:
Bx = -|B|*sin(60°) = -120*sin(60°),
By = |B|*cos(60°) = 120*cos(60°).
Make all necessary calculations.
Then your resultant vector is the sum (A + B)
with x-component Ax + Bx perpendicular to N-direction and
with y-component Ay + By parallel to N-direction.
You have all necessary instructions and explanations to complete the assignment on your own.
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