# Helix Moment

$x = \cos \theta , \qquad y = \sin \theta, \qquad z = \theta, \qquad 0 \leq \theta \leq 2 \pi$

Consider a helical section, with parameters given above. The mass of the helical section is $$M$$. The moment of inertia about the $$z$$-axis can be expressed as $$\alpha M$$. Determine the value of $$\alpha$$.

Details and Assumptions:

• The mass is distributed uniformly as a function of arc length.
• Neglect units.
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