Figure P20 shows a mass-spring model of the type used to design packaging systems and vehicle suspensions,
for example. The springs exert a force that is proportional to their compression, and the proportionality
constant is the spring constant k. The two side springs provide additional resistance if the weight W is too
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heavy for the center spring. When the weight W is gently placed, it moves through a distance x before
coming to rest. From statics, the weight force must balance the spring forces at this new position. Thus
These relations can be used to generate the plot of x versus W.
a. Create a function file that computes the distance x, using the input parameters W, k1, k2, and d. Test
your function for the following two cases, using the values k1 = 104 N/m; k2 = 1.5 Ãâ 104 N/m; d = 0.1
b. Use your function to plot x versus W for 0 Ã¢â°Â¤ W Ã¢â°Â¤ 3000 N for the values of k1, k2, and d given in part a.