00:02
In this problem, we are lifting a radiator with an angled beam and a horizontal cable, which is we're using as a model of lifting our back.
00:16
And in the first part, we want to find the tension in the cable and the force of the beam at the wall.
00:27
So what we'll do is we will sum our torsion.
00:30
About our hinge, setting them to zero, and that will allow us to find our tension.
00:38
And then we can sum our forces in the x and y direction and find the force at the wall.
00:46
So looking at our hinge of our beam and some of the torques about the hinge equal to zero.
00:56
We've got our force of the wall with an arm of zero.
01:01
We've got our tension with a perpendicular component of cosine 75 we could use sign 15 but we'll use 75 to make it a little simpler in calculating and that's going to have an arm of one and in the opposing direction we'll have a torque due to the force of the radiator with a perpendicular component of sine 75 and an arm of 1.
01:44
So we get for our t we get f r force the radiator which we're given is 420 and we'll get a tangent 75 degrees and that works out to just under 1 ,570 newtons.
02:07
Then to find our force of the wall, we'll look at our sum of forces in the x and sum of forces in the y, and set them equal to zero...