0:00
Hello there.
00:01
Okay, so here we have a diagram of a branch and you can observe that near the end of the range we are applying a force forming an angle of 18 degrees.
00:12
And we need to calculate what's going to be the momentum with respect to the center of the bolt that is located here in the branch.
00:20
We're going to assume that this grange is just two dimensional to make the calculations easier.
00:27
So in order to calculate the momentum we need to have a direction vector okay and the force vector that can be obtained using this angle and the magnitude of the force and also you need to to transform the unit that we have here so here is 200 millimeters and this part is 30 millimeters but we need this in meters just so 200 millimeters is equivalent to one fifth meter then it is divided yeah half meter okay so 0 .5 0 .2 meters and the 30 millimeters is just 0 .03 meters is just 0 .03 meters okay the transformation of these quantities now we need to define a center and i think that it's quite obvious that we need to choose the center of the bolt so the center of the ball is going to be zero zero zero and we can define from here a vector of position between the balls and the force is going to be our direction vector position vector and it's started at the origin and add a at an end at this point here but what is this point well we are going to use these measures here to obtain that point it's not that hard so that point you located at 2 well at 0 .2 and 0 .03 let me put we dot here 0 .03 this is a vector and now we need to obtain the force vector okay so so we have the position vector or displacement vector 0 .3.
02:50
Now the force vector can be obtained using this angle.
02:57
Now look what you have here, what you have at that part is that here we have the y -axis, here we have the x -axis, here is your force vector f and we know that this part form an angle of 18 degrees.
03:18
So the cosine of this angle will be aligned with the white component, right? and the cosine of that angle will be aligned with the x -axis.
03:33
Here will be sine of 18, and we know the magnitude of this vector...