The rectangular bin is filled with coal, which creates a pressure distribution along wall A that varies

Question:

The rectangular bin is filled with coal, which creates a pressure distribution along wall A that varies as shown, i.e., p = p0(z/b)1/3. Compute the resultant force created by the coal, and its location, measured from the top surface of the coal.

Given:

p0 = 8lb/ft2

a = 3 ft

b = 8 ft

dF 1/3 dz

Distribution
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