A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \mathrm{~mm}$ diameter having a velocity of $10 \mathrm{~m} / \mathrm{s}$ strikes the plate at its mid-point, at an angle of $30^{\circ}$ with the vertical. Consider $g$ as $9.81 \mathrm{~m} / \mathrm{s}^{2}$ and neglect the self-weight of the plate. The force $\mathrm{F}$ (expressed in $\mathrm{N}$ ) required to keep the plate in its vertical position is
A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \mathrm{~mm}$ diameter having a velocity of $10 \mathrm{~m} / \mathrm{s}$ strikes the plate at its mid-point, at an angle of $30^{\circ}$ with the vertical. Consider $g$ as $9.81 \mathrm{~m} / \mathrm{s}^{2}$ and neglect the self-weight of the plate. The force $\mathrm{F}$ (expressed in $\mathrm{N}$ ) required to keep the plate in its vertical position is