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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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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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