Community Answer

【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2(a) To set up an integral with respect to y representing hydrostatic force exerted on the outer wall of the tank, we need to consider an infinitesimal horizontal strip of the tank at a depth y from the top. The width of this strip is the circumference of the cylindrical object, which is 2πB. The thickness of the strip is dy. The hydrostatic force on this strip is the product of the pressure and the area, which is given by:\( \mathrm{{d}{F}=ρ{g}{h}\times{2}π{B}{\left.{d}{y}\right.}} \)where ρ is the density of the motor oil, g is the acceleration due to gravity, and h is the depth of the strip from the top of the liquid. The total hydrostatic force on the outer wall of the tank is obtained by integrating this expression from y = 0 to y = S:\( \mathrm{{F}=∫{\left({0}\to{S}\right)}{d}{F}=∫{\left ... See the full answer