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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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 = ...
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.