$7$a$.(3$pts$)$ Sally $($mass $=80kg)$ is demonstrating proper form in the push$-$up to her personal training client. If her body is perfectly parallel to the group at the bottom of the push$-$up $($figure on right$),$ how much force does she need to produce in her arms to hold this push$-$up position? Sally's center of mass is $1\mathrm{.}14$ m from her feet and her arms are positioned $2$ m from her feet. $($Draw FBD and write the equation of motions$)$

Sally in the low push$-$up position.

$7$b$.(3$pts$).$ How much force does Sally need to produce in her arms to push$-$up into a plank position if the her angular acceleration is $0\mathrm{.}5ra\frac{d}{s^2}$ and the moment of inertia of her body rotating about the feet is $103\mathrm{.}98kg{m}^2.$ What are the forces at her feet during the motion? $($hint: you will need to solve both ${\displaystyle \underset{?}{\overset{?}{}}}T$ and ${\displaystyle \underset{?}{\overset{?}{}}}F)$