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    Helical Wire : Mass, Center of Mass and Moment of Inertia

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    Consider a wire in the shape of a helix with constant density function .
    A. Determine the mass of the wire:
    B. Determine the coordinates of the center of mass: ( , , )
    C. Determine the moment of inertia about the z-axis:
    Note: If a wire with linear density lies along a space curve , its moment of inertia about the z-axis is defined by .

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    Solution Preview

    All the answers can be obtained without integration, as follows.

    The helix lies on the surface of a cylinder of radius 4 and it has a constant pitch (the angle between its tangent and the vertical).

    The given helix turns exactly one turn about the Z-axis, and its height is h = 3*2pi = ...

    Solution Summary

    Mass, Center of Mass and Moment of Inertia of Helical Wire are investigated. The response received a rating of "5/5" from the student who originally posted the question.