00:01
So we're told that we have a box.
00:08
Sorry, no, we don't have a box.
00:09
Sorry, we do have an object of some kind.
00:12
It does not have a given weight, but we know that one force of 50 pounds acts on the object at an angle of 45 degrees.
00:21
So let's say this angle here is 45 degrees.
00:25
And there's another force that acts on the object with 75 pounds at 30 degrees.
00:31
In fact, let's draw this in terms of north, south, east, west.
00:35
So let's say we're looking top down.
00:38
So 40 degrees, acting at 40 degrees would be acting in this direction, 40 degrees.
00:52
And acting at negative 30 degrees would be acting in this direction here.
01:01
Where that is 30 degrees.
01:03
So let's call this, so this is north.
01:06
North, that's east.
01:09
So therefore the we need to work out the total horizontal components and that is going to be equal to so x total is equal to going to be so the force here which is this is a 75 pound force, this is a 50 pound force.
01:34
So for the 50 pound forwards it's going to be 50 cos 40.
01:41
And for the this force it's going to be 75 cos 30.
01:48
And then for the y the total vertical components, y total is going to equal 50 sign 40 plus 75 sign 30.
02:08
So i signed 45.
02:11
Sign 45, sign 45.
02:15
Perfect.
02:17
So then we just need to work out what either of these cases is.
02:21
So 50 cos 45 plus 75 cos 30 is equal to 100 .3.
02:35
And for y total it is going to be equal to 72 .9 pounds, pounds...
