we need to get a few things straight before we continue.

1) we need to stop using different signs because
you use (-) and I use (+) for the same thing.

lets just use (+) for pipe movement in the direction that the accelerator moves the pipe the first time the mass is accelerated.


2) the 1st turn stops the pipe, it does not reverse the pipes direction.

3) the floating stage does not cause the pipe to accelerate.

4) the 2nd turn accelerates the pipe.

5) we can use 1 second for the time it takes for the mass to pass through each turn.

the mass has a final velocity of 40 m/s after it leaves the accelerator in the first cycle.

so we can use a 20 meter travel distance through each turnaround.

the mass will pass through the turnaround in 1 second.



your displacement line from 8 seconds shows the pipe moving backwards from -16 m to 0 m at 12 seconds.

the displacement line should advance from -16 m to -18 m from 8 seconds to 9 seconds because as the mass passes
through the 1st turn the pipe displaces -2 meters while the pipe is stopping.

a force of 4000N will accelerate a mass of
1000 kg from 4 m/s/s to 0 m/s/s in 1 second.
its acceleration is 4 m/s/s , its average velocity is 2 m/s
it will travel a distance of 2 m in 1 second.

then the displacement line should stay at -18 m through the free float for another 8 seconds.

the pipe then displaces from -18 m to -20 m from 17 seconds to 18 seconds as the mass passes through turn 2.

a force of 4000N will accelerate a mass of
1000 kg from 0 m/s/s to 4 m/s/s in 1 second.
its acceleration is 4 m/s/s , its average velocity is 2 m/s
it will travel a distance of 2 m in 1 second.

also your showing the pipe going the opposite direction
when it wont go the opposite direction given that only the momentum of 4000N from the mass is used.

the pipe velocity line should go from 4 m/s to 0 m/s at 9 seconds , what you are showing is the change in direction
of the momentum not the pipe.

you have the line labeled as pipe velocity not change in momentums direction.

so since I have added the pipe movement durring each of the 4 stages in a single cycle , I now get -20 meters displacement after the first cycle.

but I will use +20 for pipe displacement.

+16 m acceleration
+2 m 1st turn
0 m free float
+2 m 2nd turn

because it sounds better ! LOL

--------------------------

just add more to remove the stopping of the pipe and you get
continous forward movement.


.


3/4 inch of dust build up on the moon in 4.527 billion years,LOL and QM is fantasy science.