A square sign of uniform weight $40\,\text{N}$ is hung vertically from its top edge by a horizontal hinge, as illustrated. The hinge is not frictionless. If an external force moves the sign away from the vertical and it is then let go, it does not return to the vertical position. The greatest torque exerted by the hinge on the sign is $6.0\,\text{N m}$. The sign is turned through $90^{\circ}$ so that it is horizontal and is then slowly released. At what angle to the vertical does the sign remain after release?
- A$11^{\circ}$
- B$22^{\circ}$
- C$68^{\circ}$
- D$79^{\circ}$