In this page I got confused in when I should use XR and YR..?? for hydrostatic f

Question

In this page

I got confused in when I should use XR and YR..??
for hydrostatic force on a plane surface

t to an axis formed by the intersection of the plane containing the surface and the tree e (x axis). Thus, we can write y A an now be made of the parallel axis theorem to express I, as /, is the second moment of the area with respect to an axis passing through its centrou rallel to the x axis. Thu (2.15 n 2.19 clearly shows that the resultant force does not pass through the centroid but below it, sincey A 0 he x coordinate, Ag. for the resultant force can be determined in a similar manner b ng moments about the y axis. Thus, refore, e ay dA , is the product of inertia with respect to the x and y axes. Again, using the para orem ,l we can write- (2 the paraliel asis theorcem for the prosduct of inerta of aea states thai the peoduct of inertia with nespecit o an or (ey coordinale sysiem) is equal to the product of inertia with paralel to the a sing thersugh the ceniroid of the avea, plas the prodact of the aca and the s and y continates of the cenavnd of th respect to an orthogonal ses of as

Explanation / Answer

Here Xc and Yc represents the centroid of the element area. And XR and YR are the co-ordinates of center of pressure. Which are used to determine the location of center of pressure in calculation of hydrostatic force on a plane surface. The center of pressure is usually below to the centroid. By calculating XR, YR you can find where the force will act.

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