The energy of the two different mass objects is not the same; after an application of the same quantity of force for the same quantity of time. This deep space analogy is nearly identical to the tether of the cylinder and spheres. You should not expect equal changes in energy; you should expect equal changes in momentum on the two ends of the tether.

Energy of the system will be conserved no matter what, so does the momentum. Rethink your eksperiment, and figure out where the misconception is hiding.


Practical experiments are useless unless you do accurate measurements. I don't think you have done accurate measurements, but assume that your theory is legit. I have learned that if the practical experiment doesn't fit the theory, the theory is incorrect. Not the other way around.


Vidar

The cylinder and spheres with a mass ratio of 10 to 1 would require 12.6 frames to cross the 20 mm black square for energy conservation; but only 4 frames for Newtonian momentum conservation. I measure four frames to cross at the beginning and the end.

This four frames is the fastest the cylinder rotates. This entire experiment only takes 48 frames. It takes about 24 frames to go from 4 frames to cross the 20 mm black square to  the cylinder being stopped. It then it takes another 24 frames to restore maximum rotation of the cylinder. From the stop: it only takes about 8 frames for the cylinder to be rotating faster than 2 mm per frame (10 frames to cross the 20 mm black square). And then you still have 16 more frames to move past the 2 mm / frame speed. You have 16 more frames that are progressively moving faster and faster  past the maximum speed for energy conservation. The possibility of the cylinder rotating as slowly as required of energy conservation is zero. There is no way to mistake 4 frames to cross for 12.6 frames to cross.

You might consider that Newton is right. 

And no; Newtonian momentum and energy can not both be conserved; it is either 4 frames to cross or it is 12.6 frames to cross. This is 5 mm per frame or 1.6 mm per frame. 

Whats frames are you talking about. Maybe I've missed out a video?


Vidar

My middle range high speed camcorder takes 240 frames per second. The software has an application that slows the video and then allows you to advance frame by frame. The videos have  to be slowed down and looked at frame by frame: because at normal speed you can't see any thing definitive.

The cylinder and spheres experiment that I am investigating at this time is the 10 (total) to 1 (spheres) mass ratio. I am varying the tether length: the last photo posted had a circumference length tether; the tether length I am using right now is a ½ circumference length.

The spheres and cylinder is released from the hand at about frame 1:03:166.

The black square on the cylinder crosses from side to side from frame 1:03:162 to 166. This is 4/240th  of a second.

Just before the cylinder hits the floor the black square on the cylinder crosses from side to side from frame 1:03:231 to 235.

The end rotational speed is the same as the initial rotational speed; and the spheres are up near the cylinder as in the start.

At 1:03:189 the cylinder makes its first stop. The cylinder stops it clockwise rotation and it is sent backward (counterclockwise). This is because the cylinder is stopped before the spheres reach 90° to tangent. The spheres reach 90° to tangent at about 1:03:202 At this point the counterclockwise rotation begins to slow and the cylinder stops again at 1:03:214. From frame 214 onward the cylinder is accelerating clockwise.

By frame 232 the cylinder is back up to its original rotational speed and it is moving in the same direction; clockwise. Even though the cylinder spent some time moving in the opposite direction the final speed is not altered.

NASA predicts that the spheres conserve energy: but this is impossible because they would only have 31.6 percent (½ * 10 kg * 1 m/sec *1  m/sec = ½ *1 kg * 3.16 m/sec * 3.16 m/sec ) of the momentum necessary to return all the motion back to the cylinder. When the spheres have all the motion they are actually moving 10 times as fast as at the original speed: because their momentum is sufficient to restore all the motion back to the cylinder.

If I reduce the tether length a little more the spheres will not stop the cylinder before 90° to tangent. There would be no backward motion.

When the correct tether length is selected the spheres will be at 90° to tangent just as the cylinder is stopped. There would be only one stop. I have done this a few time before: but it is still kind of fun. Back to the lab.

This is much like the video presented on page one. I don't make the slow motion videos myself; it is done by a friend. I don't want to make too many; he might get weary of me asking.