Chlo$$e loves her rocket shoes! I investigated whether it would be safe to buy her some actual rocket shoes. To do this, I modelled Chlo$$e as a vertical uniform bar of length L $=80$cm and mass M $=13$kg with rocket shoes at the bottom, as in Figure $8.$I modelled the rocket shoes as being massless and having negligible dimensions $($assumed to be a point at the end of the rod$).$The shoes provide a combined constant thrust of F $=20$N parallel to the ground. Although the shoes have wheels on them, I assumed that it would be equivalent to sliding on the ground with a kinetic friction coefficient of $$k $=0\mathrm{.}1.$In order to not tip over while the rockets are on$,$Chlo$$e will need to lean forwards or backwards. What angle will she need to make with the vertical to remain stable as the rocket shoes push her forward? Make a diagram and indicate whether she needs to lean forwards or backwards.