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

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 .

Please see the attached file for the fully formatted problems.

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:30 pm ad1c9bdddfhttps://brainmass.com/physics/circular-motion/helical-wire-mass-center-mass-moment-inertia-105318

#### 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.