Problem $2.$ Given the engineering properties $($E$1,$ E$2,$ nu$12,$ G$12)$ of a composite lamina, and angle theta, write a program to calculate the reduced stiffness matrix in $"1-2"$ coordinate $($ Q $)$ and in $"x-y^{\text{'}\text{'}}$ coordinate $($Qbar$).$ Use the code and data in table below to calculate Q and Qbar matrix for the following lamina: Glass$/$epoxy$,$ Boron$/$epoxy and Graphite$/$epoxy$,$ assuming $=10,45,$ and $85$ degree. Numerically verify part $2$ of problem $1$

Typical Mechanical Properties of a Unidirectional Lamina $($USCS System of Units$)$