Chapter 8.2, Problem 4E

To determine

a)

To find the width of triangle at depth $y$ is $f\left(y\right)=\frac{y}{2}.$

To determine

b)

To find out the thin strip of thickness $\Delta y$ at depth $y$.Explain why the fluid force on a side of this strip is approximation equal to $\rho g\frac{1}{2}{y}^2\Delta y$

To determine

c)

To find out an approximation for the total fluid force $F$ on a side of the plate as a Riemann sum and indicate the integral to which it converges.

To determine

d)

To calculate $F$.