calculate the total mass of a wire with a varying linear mass density

This interactive web application provides a hands-on demonstration of how to calculate the total mass of a wire with varying linear mass density. It uses a predefined density function to show how the mass of the wire depends not just on its length, but also on its position relative to the origin. You can draw a path on the canvas to represent the wire. When you click "Calculate Mass," the application performs a line integral to sum up the mass contributions along each small segment of the wire, using the density function $\lambda(x, y)=\sqrt{1+0.2 x^2+y^2}$. This visual tool makes it easy to see how a longer wire or a wire positioned farther from the origin will result in a greater total mass, directly illustrating the concept of a non-uniform mass distribution.

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