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Solid States Devices => solid state devices => Topic started by: muzzi5x on December 18, 2016, 07:04:03 PM
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Hi. I’ve been trying to prove mathematically, whether or not the setup below can work. It is a hypothetical model I’ve developed from Chas Campbell’s gravity machine to help me understand his machine. I have tried using the formulas for toque, inertia etc. but I find it difficult applying them here because the forces acting are at different distances from the rim of the flywheel. So, please help answer this mathematically.
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In order for a rotational object to accelerate it must be under the influence of a Torque that is greater than zero. Torque is the product of Force and Distance (T=Fd). You state that the Force MA is applied to pulley PA at a distance of 4x. The resultant Torque is TA=MA4x. TA is the torque that will accelerate the system to your stated velocity of VA, but that velocity really does not matter. In order to stop the system you need to apply an opposite Torque that is greater than TA. In a hypothetical situation with no losses any counter torque that is greater than TA will do more than stop the system: it will eventually cause it to accelerate in the opposite direction.
If the situation is not hypothetical with no losses, then losses due to friction will stop the system if you apply any counter torque that is equal to TA or less by the same amount that the losses also create a counter torque.
The equal and opposite Torque on pulley PB needed to create a zero Torque condition when you have TA on pulley PA would be:
TB=MBx
if TB=TA (but in the opposite direction as shown in the illustration)
then MBx=MA4x, and MB=MA4.
M.
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Merry Christmas, Tom!