A uniform, rigid rod of length \(2\,\text{m}\) lies on a horizontal surface. One end of the rod can pivot about an axis that is perpendicular to the plane of the page. A \(10\,\text{N}\) force is applied to the rod at its midpoint at an angle of \(37^{\circ}\). A second force \(F\) is applied to the free end of the rod so that the rod remains at rest, as shown in the figure. The magnitude of the torque produced by force \(F\) is most nearly