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# The trifilar suspension is used to determine the moments of inertia of a body about an axis passing through its mass center.

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• Essay length: 889 words
• Submitted: 19/06/2006
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Introduction

The trifilar suspension is used to determine the moments of inertia of a body about an axis passing through its mass center. The apparatus consists of a circular platform suspended by three equi-spaced wires of equal length. The body under consideration is placed with its mass centre exactly in the middle of the circular platform. The platform is given a small circular displacement about the vertical axis through its center, and is released. The periodic time of the subsequent motion is obtained by measuring the time taken to complete a definite number of oscillations. Then from the formula the moment of inertia of the body can be calculated.

In Addition the moment of inertia of a connecting rod was found. The apparatus was a knife edge to suspend the rod and record the oscillations. This was the second part of the experiment.

T=2? L I 0+I

r2g M0+M

Where L=length of suspension wires.

r=radius from center to attachment points of the platform.

I0=Moment of inertia of the platform.

M0=Mass of platform

I=Moment of inertia of body

M=Mass of body

g=Acceleration due

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