$7$a$.(3$pts$)$ Sally $($mass $=80$ kg$)$ 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$)$

$7$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 $0\mathrm{.}5$ rad$/$s$2$ and the moment of inertia of her body rotating about the feet is $103\mathrm{.}98$ kg m$2.$ What are the forces at her feet during the motion? $($hint: you will need to solve both $$T and $$F$)$For Question $7$B in order to solve for the forces in the feet you will need a linear vertical acceleration of the body.$$ This vertical acceleration of the body is $0\mathrm{.}2$m$/$s$2.$