Concept explainers
In Exercises 9 and 10, we consider a mass sliding on a frictionless table between two walls that are 1 unit apart and connected to both walls with springs, as shown below.
Let k1, and k2be the spring constants of the left and right spring, respectively, let m be the mass, and let b be the damping coefficient of the medium the spring is sliding through. Suppose L1and L2are the rest lengths of the left and right springs, respectively.
10. (a) Convert the second-order equation of Exercise 9 into a first-order system.
(b) Find the equilibrium point of this system.
(c) Using your result from part (b), pick a new
(d) How does this new system compare o the system for a damped harmonic oscillator?
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Differential Equations
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