When rubber is stretched, its elongation is initially proportional to the appliedforce

Chapter 8, Problem 30

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When rubber is stretched, its elongation is initially proportional to the appliedforce, but as it reaches about twice its original length, the force required tostretch the rubber increases rapidly. The force, as a function of elongation,that was required to stretch a rubber specimen that was initially 3 in. long isdisplayed in the following table.(a) Curve-fit the data with a forth-order polynomial. Make a plot of the datapoints and the polynomial. Use the polynomial to estimate the force when therubber specimen was 11.5 in. long.(b) Fit the data with spline interpolation (use MATLAB's built-in functioninterpl). Make a plot that shows the data points and a curve made by interpolation.Use interpolation to estimate the force when the rubber specimenwas 11.5 in. long.

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