Note that although we depict the rod with some thickness in the figures, for mathematical purposes we assume the rod is thin enough to be treated as a one-dimensional object.Ĭonsider a thin rod oriented on the x-axis over the interval. Orient the rod so it aligns with the x -axis, x -axis, with the left end of the rod at x = a x = a and the right end of the rod at x = b x = b ( Figure 2.48). We can use integration to develop a formula for calculating mass based on a density function. We then turn our attention to work, and close the section with a study of hydrostatic force. Let’s begin with a look at calculating mass from a density function. In this section, we examine some physical applications of integration.
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