Patm 1671 A tank of liquid of constant density p is being accelerated horizontally to X Origin the right with an acceleration, a. The liquid fills the tank and the tank is closed at the top except for a small hole, as shown. (Use C.S. given!) H accel. a) Find the variation of gauge pressure with x along a horizontal line along the top of the tank. (Draw an infinitesimal element and proceed as in the P = pgy .... derivation.) L b) Find the variation of P with x along a horizontal line along the bottom of the tank, if the tank is H high. C) What is the horizontal "buoyant force" on a body of volume V inside the free surface liquid? In which direction does this force act? Origin d) Suppose the tank is open to the atmosphere instead of being closed. How does the pressure vary along a horizontal line through Q as a function of O x? What angle does the surface of the liquid make to the horizontal when accel. the tank is being accelerated? (One way: draw weight and normal on a particle of liquid at the surface. Another way: P is a scalar, and must have one particular value at any point whether calculated from y or x.)