A uniform wooden stick of mass 1.6 kg and length $\ell$ rests in an inclined manner on a smooth, vertical wall of height $h(<\ell)$ such that a small portion of the stick extends beyond the wall. The reaction force of the wall on the stick is perpendicular to the stick. The stick makes an angle of $30^{\circ}$ with the wall and the bottom of the stick is on a rough floor. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick. The ration $\mathrm{h} / \ell$ and the frictional force f at the bottom of the stick are ( $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )