Use Matlab:

$$Problem: A cable of length Lc supports a beam of length Lb so that it is horizontal when the weight Wis attached to the beam end. The tension force T in the cable is given by the following equation:

T $=($Lb$*$Lc$*$W$)/($D $*$sqr$($Lc$^2-$D$^2))$

Where D is the distance of the cable attachment point to the beam pivot.

Create a Script M$-$file that uses an anonymous function to compute the tension T as a function of D$.$You might want to use W $=400$N$,$Lb $=5$m$,$and Lc $=3$m as initial test values. This Script M$-$file should:

a$)$Prompt the user and accept values for W$,$Lb and Lc from the Command Window $($the weight is in Newtons, and the lengths are in meters$).$

b$)$Use these values as parameters in defining the anonymous function, and use the fminbnd function together with the anonymous function to compute and display in the Command Window the value of D that minimizes the tension T$.$It should also display the mininnum tension value.

c$)$Use fzero to determine by how much the value of D can vary from it's optimal value before the tension increases by more than $10\%$from it's minimum, and display this value in the Command Window.