2/25/2009
- Mass and Center of Mass
(“Interlude”)
- Mass
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Case 1: Wire with constant density
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Case 2: Wire with varying density, given by 
§
Case 3: Three-dimensional object made out of a
homogeneous material
§
Case 4: Three-dimensional object made out of a
non-homogeneous material
- Center of Mass: Presentation
- Examples
Practice Problems: “Interlude” problems: #1, 2, 5, and these three
additional problems:
A. Find the
center of mass of the solid in Figure 1, page. 455.
B. Find the
center of mass of the solid given by rotating the region bound by the curves 
,
, 
, and 
about the y-axis.
C. Find the
center of mass of the solid found by rotating the region bounded by and 
around the x-axis.
There will not
be a quiz on Friday.