Repeat Exercise 4, but assume that the top of the triangle is located 3 m below the

Question:

Repeat Exercise 4, but assume that the top of the triangle is located 3 m below the surface of the water.

Data From Exercise 4

A plate in the shape of an isosceles triangle with base 1 m and height 2 m is submerged vertically in a tank of water so that its vertex touches the surface of the water (Figure 7).
(a) Show that the width of the triangle at depth y is ƒ(y) = 12/y.
(b) Consider a thin strip of thickness Δy at depth y. Explain why the fluid force on a side of this strip is approximately equal to ρg1/2y²Δy.
(c) Write 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.
(d) Calculate F.

y f(y) 1 y 2