Figure P20 shows a mass-spring model of the type used to design packaging systems and vehicle suspensions,
Question:
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 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
W = k1x if x < d
W = k1x + 2k2(x - d) if x ≥ d
These relations can be used to generate the plot of x versus W.
a. Create a function le 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 × 104 N/m; d = 0.1 m.
W = 500 N
W = 2000 N
b. Use your function to plot x versus W for 0 ≤ W ≤ 3000 N for the values of k1, k2, and d given in part a.
Figure P20
Step by Step Answer:
Mtlb de ler l Inuts W 500 2000 k1 1E4 k2 15E4 d 01 x Wk1 if xd x W2k2dk12...View the full answer
