00:01
In this problem, we model human body by three different shapes.
00:08
Part 1 is the person's head.
00:13
In this part, m1, is 7 % of the total mass of the person as given the problem.
00:23
And the second part is the trunk and the legs.
00:27
We model it as a solid vertical cylinder.
00:31
So this is part 2.
00:33
Mass of part 2 is 80%, that is 0 .8 of the total mass.
00:44
The third part is the arms, call it 3.
00:54
The mass of the arms is 13 % of the total mass.
01:06
So the total moment of inertia is the summation of the moments of inertia of the three parts.
01:22
Part 1 is a solid spherical object, therefore, using the table 9 .2, we see that its moment of inertia is simply 2 5ths and 1, r1 squared.
01:37
Where this r1 is the radius of the person's head.
01:42
So this r1.
01:46
And we have used the facts that the rotational axis is vertical and passes through the center of the person, namely this blue line.
01:58
And for part 2, it's solid vertical ceiling...