00:01
We want to use more circle to analyze the area moment and area product for the l angle cross -section from problem 7 and 8 with respect to new centroid axes rotated by 30 degrees clockwise.
00:18
So again, something about these axes here.
00:23
And so we've analyzed this in a few problems before, so we know all of these values.
00:28
And we know to get the principal axes we need to rotate by 18 .6 degrees, so something like this, i guess.
00:39
And then we can just turn this into a geometry problem with more circle.
00:45
So the center of more circle is at the average of these two values.
00:49
So that's it, 4 .59 times the center to the 6 millimeters to the 4th.
00:56
Then which you know this point and we know this point we can get the radius.
01:00
That's 3 .85 times the 10 of the 6 millimeters to the 4th.
01:05
And this angle here is twice this and so that is 37 .3 degrees...