Consider an elastic string that is originally Im long. a$.$ Stretch it by Ice, then by $10$cm and finally by $40$cm from its original length. For each stage calculate the engineering and true strains. Icm $10$cm $40$cm b$.$ If we denote the original length of the string by L$\_\{$n$\}$ and the deformation di so that the total length of the string is L$($dI$)=$ L$\_\{0\}+$ dI give expressions for the engineering and true strains x$\_\{$m$\}$ respectively$)$ of the string as a function of df$.$ c$.$ Plot, in the same graph, and & ng $($ epsilon $\backslash$ function d$\text{'}$ in the interval: $0<=$ dl $>=0\mathrm{.}4$m Which of the two definitions of strain gives large values? Why? Hint: you can use excel or Jupyter to solve this problem. Include your plot at the end of your PDF solution. and