![]() 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 6.48). 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. 6.5.5 Find the hydrostatic force against a submerged vertical plate.6.5.4 Calculate the work done in pumping a liquid from one height to another.6.5.3 Calculate the work done by a variable force acting along a line.6.5.2 Determine the mass of a two-dimensional circular object from its radial density function. ![]() ![]() 6.5.1 Determine the mass of a one-dimensional object from its linear density function. ![]()
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