Abstract
A body consisting of a thin sheet of substance is called a lamina. The mass of a homogeneous lamina of area A is assumed to be given by pA, where p may be thought of as the mass of a square unit of the lamina. When property of additivity is applied to mass, ΔM = p ΔA, where ΔA is the area of the lamina subregion of any size whatever and ΔM is its mass. The definition of the mass of a lamina of variable density satisfies three conditions: (1) it is consistent with the definition of the mass of a lamina of constant density, (2) it regards mass as additive, and (3) it assumes the validity of inequality. This chapter explains the concept of work done by a variable force and the center of gravity.
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