Unravelling the Math Behind an Unusual Sequence

[LCSphysicist]

Homework Statement

I will say below.

Relevant Equations

Theoric question.

I am trying to understand the math on this text:

Why is not this sequence below right?:

At first, +L, so the man inverts the wheel and he now has +2L
So he give the wheel to assistent, who inverts the wheel, now wheel +L, the assistant give it to the man.
The man + wheel have now +3L, the wheel is inverted and so, the man + stool finish with +4L

 

[jbriggs444]

The man + wheel have now +3L, the wheel is inverted and so, the man + stool finish with +4L

You are correct. The text is incorrect.

The text gets a little too fast and loose with the accounting, jumping from $3L\omega$ (for stool+man+wheel) to $5L\omega$ (for stool+man alone). Changing system configuration and system boundaries both in the same step is just asking for trouble.

You've done that accounting properly.