Chapter 1, Problem 2P

The spring force F and displacement x for a close-wound tension spring are measured as shown in Fig. P1.2. The spring force F and displacement x satisfy the linear equation $F=kx+1$, where k is the spring constant and F, is the preload induced during manufacturing of the spring.

(a) Using the given data in Fig. P1.2. find the equation of the line for the spring force F as a function of the displacement x, and determine the values of the spring constant k and preload F,. (b) Sketch the graph of F as a function of x. Use appropriate axis scales and clearly label the preload F. the spring constant k. and both given data points on your graph.