1. (3) Marion & Thornton: problem 9-2.

2. (3) Marion & Thornton, problem 9-6.

3. (4) Marion & Thornton, problem 9-9.

I don’t understand the last part of this question ("What is the ratio ..."), so skip it.

4. (2) Marion & Thornton, problem 9-12.

5. (2) Marion & Thornton, problem 9-21.

6. (3) Marion & Thornton, problem 9-22.

Hint: At first glance, you may think that you need to use conservation of angular momentum (which we haven’t yet discussed) to do this problem. That is not true, however. The angular momentum of the mass is not conserved, because the tension produces a torque. Fortunately, some other quantity is conserved. What is it?

7. (2) Marion & Thornton, problem 9-28.

8. (3) Marion & Thornton, problem 9-35.

9. (3) Marion & Thornton, problem 2-44.