IS THIS A REACTIONLESS DRIVE OR A PERPETUAL MOTION MACHINE?

[George1]

Hi guys,
Let us focus again on the zigzag design as described in the first post of this topic.
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1) What will happen if:
a) the mass of the blue component is SMALLER than the mass of the black component;
b) the mass of the blue component is EQUAL to the mass of the black component;
c) the mass of the blue component is BIGGER than the mass of the black component.
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2) And one modification of the main concept.
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Let us assume that the black component is fixed motionless somewhere to some obstacle and is not able to move. In this case it is evident that after entering the zigzag channel section the blue component will decelerate. What will be the value of this deceleration d and how it will depend on the number of the zigzags? After how many zigzags for example the velocity of the blue component will be 3/4 its initial velocity Vo? Or, let's say, 1/2?
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And one more question. It is evident that if the blue component enters the zigzag channel section, then the black component exerts force Fc on the obstacle, which does not allow the black component's linear motion. It is evident that the direction of Fc coincides with the direction of Vo. What will be the mean value of Fc for example? Or its maximum and minimum? 
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So can somebody calculate the values of the deceleration d and of the force Fc for all of us in this forum? It is evident that both d and Fc are bigger than zero ( d > 0 and Fc > 0), but it will be a nice job if some formulas are derived.
(Note. Friction is negligible and the shape of the zigzag channel could be for example an ordinary standard sinusoid. (Or any other curve, if more convenient.))
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Looking forward to your answers.
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George     

[George1]

Hi guys,
Some calculations and/or opinions related to our last post?
George

[George1]

Hi guys,
Any calculated values for Fc and/or for d?
Regards,
George

[tinu]

 Yes, I'm working on it!
It goes quite slowly. So far I have a report but it's 800 pages long... 

[George1]

OK, we are waiting!