COALITION MATH 152, SPRING 1998

              (S. A. Fulling, assisted by Vera Rice)

                             Day 21.R


    1.  Collect "earn your curve" papers.

    2.  Introduction to centers of mass and moments of inertia:
    Coordinated with physics, graphics, chemistry.  Note-taking 
    should concentrate on pictures, since text is on Web.
    
    3.  Review definitions for systems of point particles (as on 
    Web).

    4.  Definitions and examples for solid bodies (as on Web, 
    with the following new wrinkles). 
    
        A.  In doing the mass of the block, let the students pick 
        the order of the variables of integration.

        B.  TEAM RAT to find center of mass of the block with 
        linearly varying density. 

TIME RAN OUT AFTER CENTER OF MASS AND BEFORE MOMENT OF INERTIA.

    5.  Digression to elaborate upon integrals in polar and 
    cylindrical coordinates.  Same as the pipe problem except 
    that \rho might depend upon \theta as well as r and z.