Understanding Rigid Body Rotation: Solving Problem 4A and B from a Physics Exam

[Kenneth Dirk]

I am trying to solve problem number 4 part A and B from (http://people.physics.tamu.edu/kamon/teaching/phys218/exam/2003C/2003C_Exam3_Solution.pdf) but I am confused about certain aspects of it.

In part A, I understand that since we are considering the person as a cylinder, the equation for moment of inertia will include (1/2)MR^2. What I can't seem to understand is where did 2MR^2 come from and why we didn't include the moment of inertia of the arm(which is a rod).

In part B, I understand the rest of the moment of inertia equation but I am confused where did m(1l/2 + R)^2 come from?

 

[BvU]

Hello Ken,

Please use the template and the superscript/subscript buttons. See guidelines
Apparently you have a question on moment of inertia. So isolate that problem and state it. Show the relevant equations.

And note that the solution does make a difference between M and m -- as you do not.

 

[Doc Al]

What I can't seem to understand is where did 2MR^2 come from and why we didn't include the moment of inertia of the arm(which is a rod).

The 2mR^2 is the moment of inertia of the arms -- when they are hanging down, not outstretched. (Note: m, not M.)

In part B, I understand the rest of the moment of inertia equation but I am confused where did m(1l/2 + R)^2 come from?

Here the arms are outstretched. Note that the axis of rotation is the center of the person, not the shoulder.

 

[BvU]

The 2mR^2 is the moment of inertia of the arms -- when they are hanging down, not outstretched. (Note: m, not M.)Here the arms are outstretched. Note that the axis of rotation is the center of the person, not the shoulder.

Giving it away, eh ? not PF ! Well, let's say Ken has beginner's credit

 

[Doc Al]

Giving it away, eh ? not PF !

Well, let's say Ken has beginners credit

First one's free!