Inertial propulsion systems in various forms such as with gyroscopes or pendulums that swing in smaller arcs at one end of a circle than at the other don't work. At least none has ever been demonstrated to work.
That being said there is still a way they can be used as long as the force driving the pendulum is external to the pendulum system.
In this case I used the Earth's magnetic field.
To understand this we will imagine a pendulum and 4 rocket thrusters floating in micro gravity. Imagine there are two thrusters close together on each side of the arm of our pendulum near the end opposite the weight. Those thrusters would then be imagined to go on and off in such a way that they would swing the pendulum back and forth. While the pivot point of the pendulum where the thrusters were would not stay still there would be a sort of overall cycling swing of the pendulum in our micro gravity. The thrusters observe Newtons law of action and reaction.
The swinging of the pendulum would create centrifugal force in only one direction and cause the model to accelerate in that direction.
Now let's apply this to Earths magnetic field and electromagnets acting similar to a compass.
The electromagnets make the pendulum swing side to side but also observe Newtons law. The force of Earth's magnetic field interacting with the electromagnets makes the pendulum swing in a way that we would not consider unusual.
As the pendulum swings the centrifugal force pulls it in one direction just as with the thrusters.
There is no magic here.
So in the below video my model is floating in water to simulate low gravity and friction. The electromagnets are at right angles to each other and swing the model side to side.
My model may look like a bunch of wires and stuff on some styrofoam discs but actually is pretty simple. It consists of some homemade electromagnets, batteries and an Arduino. There is an IR TV remote control circuit to turn the power on so that the model can settle still before starting when the button is pressed. The Arduino is programmed to turn the electromagnets on alternating so that the model generally swings side to side as the electromagnets at right angles to each other each align north and south with Earth's magnetic poles like a compass.
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