In Class Presentation 9 :
1. Team 1 : Problem 3.31
2. Team 2 : Problem 3.4
3. Team 3 : Problem 3.18
4. Team 4 : A particle moves
inside of a praboliod with equation z = br2, where b > 0 is
a contant, r is the distance from the z axis. The surface of the paraboloid exerts no friction. The acceleration due to gravity has magnitude g and acts
in the negative z direction. Find the condition for circular
orbits to occur and determine their stability. What is the period of
such orbits.