00:01
Hello student, in the given question to determine the value of resultant force r, we can use the vector addition, we can use the vector addition, vector addition.
00:20
So, first we denote the angle between the cables.
00:24
Let's denote the angle, the angle between the cables, between the cables ab and ac as theta.
00:46
Then we have the following forces acting at point a, r, we have the following forces acting at point a, at point a is first the tension in cable ab, the tension in cable ab which is denoted as t of ab which is equals to 183 ib acting along ab, acting along ab.
01:36
Then the tension in cable, second the tension in cable, the tension in cable, cable ac which is denoted as t of ac, t of ac which is equals to 130 lb acting along ac, acting along ac.
02:09
Then third is the load carried by the boom oa, the load carried by the boom, boom oa denoted as p, denoted as p acting vertically downward, acting vertically downward, downward.
02:43
Then since the resultant force r must be directed along oa, it means since, since the resultant force, resultant force r must be, must be directed along oa, it means that the vertical component of force t of ab and t of ac and p must cancel each other out, must cancel, must cancel each other, each other out.
03:37
This implies that the sum of vertical component of this forces should be zero.
03:44
This implies that, implies that the sum of, sum of the vertical component, the vertical components, components of this forces, this forces should be zero, forces should be, should be zero...