Problem 3. A cubic tank of dimensions h contains water of density p. It has a pipe open to the atmosphere located in its top surface. This pipe contains water to

a height L, as shown in the figure. A square vent with side length D in the top surface is held closed by a lid of mass M. (a) Find the height L in terms of M, D, and p. (b) Find the force F due to the water acting on a vertical face of the tank in terms of p, g, h, and L. (c) Find where this force acts in terms of h and L. Patm h M D h dA dF Patm