Pls help solve this puzzle

[muzzi5x]

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.

[mondrasek]

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 M_A is applied to pulley P_A at a distance of 4x.  The resultant Torque is T_A=M_A4x.  T_A is the torque that will accelerate the system to your stated velocity of V_A, but that velocity really does not matter.  In order to stop the system you need to apply an opposite Torque that is greater than T_A.  In a hypothetical situation with no losses any counter torque that is greater than T_A 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 T_A or less by the same amount that the losses also create a counter torque.


The equal and opposite Torque on pulley P_B needed to create a zero Torque condition when you have T_A on pulley P_A would be:


T_B=M_Bx


if T_B=T_A (but in the opposite direction as shown in the illustration)


then M_Bx=M_A4x, and M_B=M_A4.


M.

[mondrasek]

Merry Christmas, Tom!