00:01
In this question we're given this vector diagram and we want to find the magnitude and direction of the resultant force.
00:05
So if we add these two together we're going to get some resultant force and i'm going to call it r.
00:09
And i know that it's going to have components rx and ry.
00:12
And those components are going to be the sum of the x and y components of these two vectors a and b.
00:18
So i can break these vectors down into their x and y components.
00:25
And so rx is going to be the sum of those x components, so it's going to be ax plus bx.
00:29
Well, what is ax and bx? well, i'm going to have a, which is 28 pounds, times the cosine of 30.
00:38
So i just want this component here on the x -axis.
00:41
So 28 times the cosine of 30 degrees, that's ax.
00:45
Bx is going to be b, which is 18, times the cosine of 45 degrees, because it's at a different angle...
