Determine the location of the horizontal axis ya for figure (b) at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure (a)). The model for ya is ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- is the moment of inertia of the gate about the line y=y-, h is the depth of the centroid below the surface, and A is the area of the gate. Determine the location of the horizontal axis y for figure (b) at which a vertical gate ina dam is to be hinged so that there is no moment causing rotation under the indicatedloading (see figure (a)). The model for y is y=y- where is the y-coordinateI,hAof the centroid of the gate, I, is the moment of inertia of the gate about the line y = y,h is the depth of the centroid below the surface, and A is the area of the gate.y = Lhafigure (a)figure (b)y = yy₁ =y-y = LbIyhA

An x-axis is the horizontal axis in the coordinate plane. A vertical axis is called a y-axis. Origin…

etermine the location of the horizontal axis ya for figure (b) at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure (a)). The model for ya is ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- is the moment of inertia of the gate about the line y=y-, h is the depth of the centroid below the surface, and A is the area of the gate

etermine the location of the horizontal axis ya for figure (b) at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure (a)). The model for ya is ya = y- - Iy- / hA where y- is the y-coordinate of the centroid of the gate, Iy- is the moment of inertia of the gate about the line y=y-, h is the depth of the centroid below the surface, and A is the area of the gate