# Perpetual Motion of the 1st Kind

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Counterweighted Swivel Lever Demonstration An edition of the equations designed for 3:1 levers. Depicted is >2:1. Equations to Consider: ... Basically, in a 3X lever, the marble can be up to <1/3 the mass of the counterweight. The counterweight must be >3X the marble, the multiplier for support, and the weight of the lever, but this is not prohibitive as the multiplier renders the marble to be significantly less, particularly with large amounts of leverage. First, we should figure out the effective mass on a slope of a certain angle… 45 = 100% 100% + 50% / 2 = 75% (at 22.5 degrees) 75% + 50% / 2 = 62.5% (at 11.25 degrees) 62.5% + 50% / 2 = 112.25 / 2 = 56.125 (at 6 degrees). Let's round to 0.6 percent degrees to be conservative. Now, we can plug this in. The counterweight must be >3X the marble’s mass of 1X * 0.6 from above + let’s say the effective mass of the lever unweighted is equal to the marble or 1X = >1.6X for counterweight mass. However, the counterweight can be no greater than 6X as 3X lever with 1X mass and 1X additional mass is then unable to lift it when the marble is applying it’s full mass. So, now the counterweight has a range of between >1.6X and <6X. So, let’s add these numbers and divide by two, and we get 3.8 optimized counterweight mass. TEST: (I have been taught: effective mass * effective leverage * angle multiplier = effective leverage). 1X mass marble and lever X 3X leverage X 0.6 effective mass since supported by track + 1 additional constant mass from lever = 2.8 effective leverage supported (rising?). VS. 3.8 counterweight mass X 1 multiplier (unsupported) X 1 leverage distance = 3.8X estimated counterweight effective leverage. Comparing 3.8 counterweight effective leverage to 2.8 marble effective leverage the result is that the counterweight lifts the marble when the marble is supported. Now, the marble, unsupported, does not have the fractional multiplier. Now, the marble’s effective leverage is 1X mass X 3X leverage X 1 (full application) +1 constant additional from lever = 4X effective leverage for marble, unsupported except by lever. Now, we have 4X effective leverage for the marble and the same 3.8X effective leverage for the counterweight, indicating that, because the weights are in a state of balance, the marble can lift the lever when it is unsupported by the track. ---Nathan Larkin Coppedge by 10/15/2018
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