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22 November 2024 04:26
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Question |
| Asked by: |
Jorge d'Avila |
| Subject: |
Gyro Couple without precession |
| Question: |
I think this would be a simple question, but I couldn't find any answer to it yet...
Suppose we have a gyro in a suspension system with 1 (one) degree of freedom only. That is: the gyro spins around an "x" axis, it has freedom to swing its axis around the "y" axis, but NOT around the "z" axis.
Now we apply a couple, trying to move it around the "y" axis. The normal tendency would be for the gyro to precess around the "z" axis, but it is locked in this axis.
Question: what equation describes the relationship between the applied couple and the movement around the "y" axis, given an angular velocity and mass inertia?
Practical application: suppose we have a gyro used to stabilize a ship. Then "x" axis would be the vertical. The "y" would from side to side, and the "z" would be the ship's movement axis (longitudinal). When the ship begins tilting laterally, the gyro will be subject to exactly the situation stated above. My question is: what is the couple the gyro applies over the ship to avoid such tilting?
Thanks for any clue on this! |
| Date: |
11 April 2007
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Answers (Ordered by Date)
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| Answer: |
Robert Archer - 15/07/2009 12:54:59
| | | Get a copy of Classical Mechanics by Herbert Goldstein. Also Mechanical Vibrations by Den Hartog covers the ship stabilizer problem. Both are McGraw Hill & Co
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