$9\mathrm{.}12($a$)$ Show that to design a static structure in a rotating frame $($such as a space station$)$ one can use the ordinary rules of statics except that one must include the extra "fictitious" centrifugal force. $($b$)$ I wish to place a puck on a rotating horizontal turntable $($angular velocity $2)$ and to have it remain at rest on the tabie, held by the force of static friction $($coefficient $).$ What is the maximum distance from the axis of rotation at which I can do this? $($Argue from the point of view of an observer in the rotating frame.$)$