You have been hired to design a family-friendly see-saw. Your design will feature a uniform board of mass $M = 16.61$ kg and length $L = 13.77$ m that can be moved so that the pivot is a distance $d$ from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance $x_{offset} = 16.98$ cm from the end of the board when seated, as shown.
You have selected a child of mass $m = 26.9$ kg and an adult of mass $n = 5$ times the mass of the child to test out your prototype.
Part (a)
Determine the distance $d$, in meters.
Part (b)
Determine the magnitude, in newtons, of the force exerted on the pivot point by the see-saw.
$F_b = \text{____ N}$