Problem-1 Suppose that you have a long, thin rod, as in Figure-1, with a non-uniform linear mass density given by dm/dx = p(x) = μo + ax, where a is the distance along the rod from one end, and a = du/dx is constant. (a) What are the dimensions of the parameters and a? X Figure 1: Non-uniform rod. (b) What is the moment of inertia of the rod for rotations around an axis perpendicular to the rod and passing through the end of the rod at x = 0?

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.