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19 April 2024 19:00

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Question

Asked by: dom
Subject: increase in angular velocity due to forced precession
Question: Can an increase in the spin angular velocity of a rotor be produced by a forced precession, by forced precession I mean the work done by the input torque and a swash'ing displacement[motion like a coin spinning down on the table] . Mechanicaly the swashplate's rotation forces the gyro' rotor axle to tilt from its "steady state" orientation.
There is a keep fit/ toy gyro called Powerball (http://www.powerballs.com/) the rotor of which increases speed as a forced swashing motion is applied to it, but as far as I gather the increase in rotor speed is due to the tips of its axle [which project from its slip ring gimbal] being "frictionaly geared" to the hand held housing.
So can an increase in the spin angular velocity of a rotor be produced by a forced precession WITHOUT being "frictionaly geared" ?

Dom
Date: 19 February 2009
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Answers (Ordered by Date)


Answer: patrick - 08/04/2009 01:56:03
 By repultion of prime number placed magnets around a 360 degree circle, The repultion of the mags will push each other on 359 outer 367 inner then via fluidicity the atomic stir of the module will weight itselfto the math of decimal 8

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Answer: peter lissaman - 20/05/2009 22:33:44
 In general the answer is NO. This can be tested by taking a spinning bicycle wheel, holding the axle, and twisting the axle in any way. Nothing can make the rpm of the wheel with respect to the earth ( as an Inertial reference system) change.The Euler equations establish this from the dynamcis point of view, and a pysical inyterpretation is that there is no way to get a torque through the frictionless journal holding the wheel to the axle. Interestingly, if the rotor is NOT axisymmetric, but still balanced, then motions of the axle CAN introduce spin into the rotor. Say, for example, that a bicycle wheel (which IS axisymmetric) had bodies of equal mass added to diametrically opposite stations on the rim, for example at 0 and 180 degrees, but not at 90 and 270. Then the c.g. is still at the axle, but motions of the axle can now cause spin changes for the wheel. This response is immediately apparent from the Euler Equations, but is rather more difficult to establish by handwaving only.

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