00:01
In this problem we are given a structure that has a force acting on it and with that we are going to find the magnitude of the projected component of this force along a certain axis.
00:15
Okay, due to the structure being intricate, let us use the exact figure for sake of precision.
00:24
So this is a figure that is given to us.
00:29
So we have this force f and we are going to find the main.
00:32
Magnitude of the projected component of that force acting along the axis bc.
00:42
Okay, now that component fbc is given by the force vector dotted with the unit the unit vector in the direction bc.
01:02
Okay, so we need to write down the force that is given to us in the vector form and we also need to obtain this unit vector bc.
01:10
Okay, let us start with the force.
01:14
This force can be written as the norm, which is 3 khanutons times the unit vector in the direction cd.
01:27
So let us find this unit vector cd.
01:34
We have the cd vector divided by its node.
01:39
So this cd vector is given by the difference of the coordinates of d and c d minus c so let us write down the coordinates of these points for point c we have x coordinate equal to 3 y coordinate 4 and z coordinate minus 1 in unisov meters 4d we just have a non -zero x component because this on the x -axis and that x component is 3 plus 5 8 meters.
02:22
So we have 8 0 .0.
02:26
With that we obtain this cd vector to be equal to 5 minus 4 1...