$1)$Replacing a super$-$lightweight alloy seatpost on a bicycle with a polymer$-$composite

seatpost can save up to $\frac{1}{4}$ pound of weight for a bicycle $($but costs about $3x$ more$).$ I broke several

polymer$-$composite seatposts on my mountain bike $($shown in photos below$)$ and did some analysis to

better understand the way the stresses are applied.

If we use a continuous and aligned fiber$-$reinforced polymer composite, we can meet the minimum

strength requirements if the elastic modulus along the fiber direction is $60$ GPa and perpendicular to the

fiber direction is $8\mathrm{.}5$ GPa $.$ One seatpost manufacturer $($AX Lightness Europa$)$ uses Kevlar KM$2$ aramid

fibers in a West Systems $105/209$ epoxy matrix. The properties of the materials in the AX Lightness

Europa seatpost and other available materials are in the table below. Some important questions arise:

a$.$ If I purchase this AX Lightness Europa seatpost, am I likely to break it$?($That is$,$ will the elastic

modulus criteria described above be met? Justify your response with a calculation or series of

calculations in a spreadsheet$).$

b$.$ If the AX Lightness Europa composite seatpost is expected to break, please select the combination of

available materials from the table below meeting the modulus requirements and minimizing the weight.

Again, use calculations and$/$or a spreadsheet to justify your selection and include these in your

response. $*$a medicinal plant native to the Amazon.

The both slides consists of same question one continued by another please keep it in mind and answer properly