00:01
In this problem, we have been given that there are four forces which are acting at this point o.
00:06
So we need to show the resultant of all these forces by considering the rectangular components along x and y -axis as indicated here.
00:17
So let's take them as force 1, force 2, force 3, and force 4.
00:24
So here let's write them in terms of vector.
00:27
So we will use i -cap to indicate the direction along positive.
00:31
X -axis and j -cap to indicate the direction along positive y -axis.
00:36
So f1 vector it will be minus 13 i -cap because it is along the negative x direction.
00:42
And similarly, f2 vector that will be equal to.
00:47
First, we will take the component of this 8 kilo -newtons and one of the component will be along negative x direction, so that will be minus 8 cost 50.
00:58
And along positive x direction, its component will be 8 so in terms of vector, f2 vector, that will come out to be minus 5 .14 icap plus 6 .13 jcap, because these are the values that we get after multiplying 8 cost 50 and 8 sine 50.
01:21
And similarly, we can observe that f3 vector that comes out to be 6 cost 35 along positive x direction and 6 sine 35 along positive x direction and 6 sine 35 along positive...