Problem 1 AU-shaped tube is partially filled with a liquid of known density p1. At the right end, another liquid of unknown density pz is added. These are immiscible, and the heights of the columns are h and hz, respectively, as shown in the figure below. Determine the density p2- h2 hi p2 P1 Problem 2 Consider a dam of width D and a water body of a depth of H, as shown in the figure below. Determine the net force acting on the dam. H Problem 3 A homogeneous block of mass M and volume V= abh is put on a liquid of known density pi. Determine the fraction of the block below the surface of the liquid. Problem 4 Find the expression that allows the indirect measurement of the density of an object using Archimede's Principle. Relate the weight and the apparent weight if it is submerged in a liquid of known density pı.

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Fluid Materials

In general terms, anything that flows can be termed as a fluid. In other words, a fluid is any substance that cannot resist shear forces and deforms continuously under the application of external shear forces. Fluid materials differ completely from solid materials such as metals and alloys. For instance, if we consider two infinitesimally small cross-sectional areas of fluid materials and solid materials, and apply shear forces to these elements, both the elements will undergo deformation. Upon releasing the shear force, the element of the solid materials will regain its original orientation, but the element of the fluid materials will keep on deforming continuously under the action of the shear force.