A right triangle is submerged vertically with one side parallel to the surface in a liquid of density p. The triangle has a leg that is 12 m long parallel to the surface and a leg 12 m long straight down. Find the force exerted on the triangular surface in terms of density. Neglect the effect of the atmosphere above the liquid. O 576p N O 288p N O 864p N O 48p N O None of the Choices

2. There is a liquid having density of Np below a liquid of density p (N is an unknown constant). A piston of a rectangular cross section (width H into the page) is attached to a completely submerged sphere of density e/3 and volume 4/2H3, with a pulley attachment as shown in the figure. The piston surface has a 45° angle with respect to the horizontal direction and a 90° angle with the pulley cable. It is measured that the within the piston is atmospheric. pressure (a) Identify all the forces applied to the piston surface, and mark them on a free body diagram. Accurately indicate their points of action. (b) Evaluate N if all the forces applied to the piston surface balance. Air P/3 2H g Piston surface Np H

A manometer containing two oils is used to assess the pressure of air in a storage tank.  Given the configuration of the oils in the picture, calculate the pressure in the tank.  The density of air is negligible to the density of the oils (?oil1 = 1000 ??/m3; ?oil2 = 400 ??/m3 ). The height of oil 1 is 1 ?, and the height of oil 2 is 0.8 ?.  The atmospheric pressure is 98 ???. The manometer is ipen to the atmosphere.

The figure below shows a container filled with a liquid of density p up to a height of 4R. The container is of unit width into the plane of the screen and AB is half a parabola with a height of kR and a base of R. Determine the magnitude and direction of the vertical component Fy of the hydrostatic force acting on the curved surface AB if k = 2, R = 0.5 m, p = 1000 kg/m³ and the gravitational acceleration g = 9.81 m/s². Note that Fy is positive if it acts upwards and is negative if it acts downwards. Geometric properties of a half-parabola are also given below. Fy= 1. [-6.7362, -6.3438 kN. 4R h ထမ 35 b Liquid Р X Half-Parabola BR KR A = 3bh 1xc=²bh³ |yxc=hb³ |yy,c=²7/531 2 h63