Moment of Inertia Experiment Purpose: To determine the shape and ...
Moment of Inertia Experiment Purpose: To determine the shape and ...
Moment of Inertia Experiment Purpose: To determine the shape and ...
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y solving simultaneous equations for <strong>the</strong> moment <strong>of</strong> inertia <strong>of</strong> each axis(subtract <strong>the</strong> moment <strong>of</strong> inertia <strong>of</strong> <strong>the</strong> sphere, I = 2.76 x 10 -3 kgm 2 , from<strong>the</strong> moment <strong>of</strong> inertia about each axis). Then calculate <strong>the</strong> density <strong>of</strong> <strong>the</strong>body <strong>and</strong> compare it to brass (ρ = 8.47 x 10 3 kg/m 3 ) <strong>and</strong> aluminum(ρ = 2.7 x 10 3 kg/m 3 ). If it is not consistent with ei<strong>the</strong>r density, pick a new<strong>shape</strong> <strong>and</strong> start over.Questions:1. Do your plots <strong>of</strong> mass vs. acceleration go through <strong>the</strong> origin. Why orwhy not?2. Is it possible to <strong>determine</strong> all <strong>of</strong> <strong>the</strong> variables for all <strong>of</strong> <strong>the</strong> <strong>shape</strong>s?If not, which <strong>shape</strong>s remain ambiguous? Why?Bonus: Analyze <strong>the</strong> <strong>the</strong>ory involved in thinking about this system usingNewton's laws, ΣF = ma. Include friction, it is significant.The design <strong>of</strong> this experiment is based on a paper by Joe Amato:Amato, Joseph C., Roger E. Williams <strong>and</strong> Hugh Helm, "A 'black box'moment <strong>of</strong> inertia apparatus", Am. J. Phys., 63, 1995, pp. 891-894.
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