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18th annual conference on manual control.pdf - Acgsc.org

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PERCEPTUAL SCALING OF MOMENT OF INERTIA<br />

APPARATUS<br />

Figure I illustrates the apparatus used. A 6" plexiglass T handle was<br />

fixed to a plexiglass shaft 13" l<strong>on</strong>g and I" in diameter. The shaft rested <strong>on</strong><br />

two ball bearings mounted 6" apart. A 24" length of plexiglass was glued at<br />

the end of the shaft, with 12 holes drilled symmetrically at different<br />

Figure I. Mass Moment of Inertia Apparatus<br />

positi<strong>on</strong>s al<strong>on</strong>g its length.<br />

The hole positi<strong>on</strong>s were selected so that the mass<br />

moment of inertia increased by equal ratios when a pair of 2 lb. weights were<br />

moved from 2 holes equidistant from the center point of the 24" length to the<br />

adjacent holes. The mass moment of inertias were thus linearly spaced <strong>on</strong> a<br />

logrithmic scale.<br />

Six different mass moments of inertia, <strong>on</strong>e for each<br />

symmetrical pair of holes, could be generated.<br />

414

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