Suppose a mass m lying on a flat, dry, frictionless
Chapter , Problem 25E(choose chapter or problem)
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.3(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.3(b), the displacement of the mass to the right of the equilibrium position is positive and negative to the left. Determine a differential equation for the displacement of the freely sliding mass. Discuss the difference between the derivation of this DE and the analysis leading to (1) of Section 5.1.
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