00:02
Okay, we've got to find the magnitude of x and y, which appears to be the tension in these ropes holding up this 700 -pound weight.
00:14
Weight.
00:15
So first let's break those vectors down into components.
00:21
So for y here, this is going to be y sine 60 degrees acting in the horizontal direction, and then this is going to be y y cosine 60 acting in the vertical direction.
00:50
And then for the x vector, we've got x sine 30 up here and x cosine 30 over here.
01:05
A little cramped.
01:07
Okay, so let's start by thinking about what's happening in the horizontal direction.
01:14
So nothing's moving.
01:16
So that means the two forces, one acting to the left and one acting to the right, are going to be equal.
01:25
So x sine 30 degrees is going to equal y sine of 60 degrees.
01:34
And the sine of 30 happens to be one half.
01:37
So one half x x equals, well, the sine of 60 is square root of 3 over 2.
01:47
And then if i just multiply both sides by 2, i know what x is in terms of y.
01:52
X is square root of 3 times y...