To measure the static friction coefficient between a $2\mathrm{.}93-kg$ block and a vertical wall, the setup shown in the drawing is used. A spring $($spring constant $=523\frac{N}{m})$ is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by $0\mathrm{.}0492$ m $,$ what is the coefficient of static friction?