The gate shown is 3.0 m wide (into the page), hinges around the bottom point, and for the purposes of this analysis can be considered massless. A weight is attached to the top point, and is threaded through a frictionless pulley. For what depth of water (d) will this rectangular gate be in equilibrium at an angle of 60o as shown?

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Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.