# MIT 2 003 - Study Guide (4 pages)

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## Study Guide

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## Study Guide

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Pages:
4
School:
Massachusetts Institute of Technology
Course:
2 003 - Modeling Dynamics and Control I
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MIT Dept of Mechanical Engineering 2 003 Modeling Dynamics and Control I Spring 2005 Prelab 2 Assigned 2 11 05 due at start of lab during week 2 14 05 PURPOSE OF LAB In this lab we will examine the dynamics of a spinning flywheel with differents types and amounts of damping DESCRIPTION OF HARDWARE The photo below shows the hardware that you will be using It consists of a large metal copper flywheel which rides in high quality ball bearings The lower bearing is an angular contact type of bearing These bearings are good at taking thrust loads and in this case this bearing takes the full weight of the flywheel The upper bearing is a more conventional ball bearing If you set this flywheel rotating with no other drag torques it will typically take 5 minutes or more to come to a stop Upper bearing is recessed in this hole Magnet in place for eddy current damping Magnet in storage location Copper Flywheel We will add linear damping to the sytem using a phenomenon known as eddy current damping When a permanent magnet see photo above is moved relative to an electrical conductor such as copper it induces currents in the conductor which then create a magnetic field that opposes the original field re read Lenz s law from 8 02 The result is a force on the conductor which opposes the relative motion between the magnet and conductor which is proportional to the relative velocity of magnet and conductor Our flywheel is made of copper because copper is 1 highly electrically conductive and therefore large eddy currents can be induced in it 2 has a high density so the flywheel is massive and 3 is non magnetic in a ferromagnetic material such as steel the magnetic attraction forces would overwhelm the eddy current forces Under the flywheel and attached to a piece of the flywheel shaft which projects out the bottom is an encoder see photo below This is an electronic actually opto electronic device which measures the angular position of the shaft The selected encoder is a digital device

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