When solving vectors, sometimes you are given the components and asked to
find the resultant. Then there are times when you are required to find the components when given the resultant. Let's investigate both:
Given: X = hor = 30, Y = ver = 40.
Find the resultant vector.
1. Draw a hor line from the origin pointing to the right.
2. Draw a ver line from the origin
pointing upward.
3. Draw a sloped line from the origin
which moves upward and to the right.
This is the resultant vector, and it
is located between the given components.
4. Label the x and y components with
the values given.
tanA = Y / X = 40 / 30 = 1.3333,
A = 53 deg.
R = X / cosA = 30 / cos53 = 50 =
the Resultant
R = 50 @ 53 Deg.
2nd Example:
Given: R = 50 @ 53 Deg.
Find the hor and ver components.
X = hor = RcosA = 50cos53 = 30.
Y = ver = RsinA = 50sin53 = 40.
I hope this is helpful.
How do you find the resultant in terms of components, the magnitude of the resultant, and the resulant's angle above the x-axis?
1 answer