Project 1

Tony Kanaan and Dylan Kilpatrick

numbers 1-3

#4

This graph shows the 4 roots with the associated theta

x1=5    (x2,y2)=(0,6)    L1=L3=3    L2=3^(1/2)    y=p/4    p1=p2=5   p3=3

             root at -.3310              root at -.7208
             root at 2.1159              root at 1.1437

#5

Strut was changed to 6.99, thus we found 6 roots instead of only 4 roots just by changing one of the struts

x1=5    (x2,y2)=(0,6)    L1=L3=3    L2=3^(1/2)    y=p/4    p1=5    p2=6.99    p3=3

             root at .01387699              root at -.69690582
             root at .456041194              root at -.30345958
             root at .97795183              root at 2.51276831

#6

We tried different integer values of p2 to see if we can get a graph with only two roots, result was p2=4

x1=5    (x2,y2)=(0,6)    L1=L3=3    L2=3^(1/2)    y=p/4    p1=5    p2=4    p3=3

             root at 1.33164220              root at 1.77751357