More Help on Mystery Mass Here! I call this brand new document "Tutorial 5 - Version 2". Why did I write it? Because many people are denoting their heavy mass in class with the symbol M2, which is fine, but Tutorial 5 (original document) denotes the heavy mass with the symbol (M+m), which is also fine. Both methods work, but because of the naming discrepancy, I thought some students would appreciate seeing the algebra laid out with symbols specifically in keeping with the M2 labeling.
Another nice thing that I added to Version 2 is a third page with a section I called "Algebra Appendix". This is just some assistance purely with the simplest way to do the final algebra steps in the problem.
Another thing that I put into Version 2 are the actual Free-Body Diagrams I would use in such a problem. These are diagrams that all students should have already made 4 days ago. Version 1 talks about those diagrams, assuming that all students would do them. Nothing wrong with the Version 1 approach either. Either way, you have lots of help here.
The quiz of Friday October 28 is all about using Newton's 2nd Law in relation to Free-body Diagrams. That's what the following practice documents are all about: "Tutorial 1", "Tutorial 2", "Tutorial 5 (Versions 1 and 2)", and "Dueling Forces". This is heavy support, and there will be no surprises on that quiz.