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Suppose a mass m lying on a flat dry frictionless surface is attached to the free end of a spring whose constant is k. In Figure 5.R.2(a) the mass is shown at the equilibrium position x = 0, that is, the spring is neither stretched nor compressed. As shown in Figure 5.R.2(b), the displacement x(t) of the mass to the right of the equilibrium position is positive and negative to the left. Determine a differential equation for the displacement x(t) of the freely sliding mass. Discuss the difference between the derivation of this DE and the analysis leading to (1) of Section 5.1.
FIGURE 5.R.2 Sliding spring/mass system in Problem 25
FIGURE 5.1.1 Spring/mass system
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Chapter 5 Solutions
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning