Physics term for discussed example and calculations

[ahmed11]

i thought of an example of a 2 system that would give anti torques for each other but i want to know how to properly calculate it and if there is a term for that kind of example:
two manual treadmills placed infront of each other without any handles so nothing to grab on to. and for the treadmills to rotate; a person has to manually push on it but the problem is the person will have to grab something or push on to something to exert a force on the treadmill. if two treadmills infront of each other facing each other and two persons extend their hands and push together the treadmills will move. i need to know what is this experiment called or if there is a physics term for it and how to calculate assuming both machines are the same and both persons have same mass?

 

[ahmed11]

so the two persons will apply an equal force on each other when they push their hands together but the reaction force of each will result in the rotation of the treadmill's running belt.

 

[CWatters]

Make up your own name.
What do you want to calculate?

 

[sophiecentaur]

so the two persons will apply an equal force on each other when they push their hands together but the reaction force of each will result in the rotation of the treadmill's running belt.

Looks like you are talking about Equilibrium. If they are not in contact with anything but the (initially stationary) belt then it will not move.
You would need to be a bit more explicit if you want a definitive answer.

 

[Nidum]

A possible answer to op question is 'symmetrical physical system'

The only real point of interest about the problem configuration as described is it's symmetry .

It means that you can get a valid solution by considering only one half of the system .

Identifying symmetries can often reduce the complexity of problems considerably and make them much easier to solve .

Symmetries are described as being about a line of symmetry or across a plane of symmetry depending on whether problem is 2D or 3D . These lines or planes of symmetry are often called mirror lines or mirror planes .

The use of symmetries is not limited to simple problems in statics and dynamics . They have applications in solving many different classes of physical problem and they have further applications as a concept in pure mathematics .

In FEA work symmetries are commonly made use of to reduce the amount of computer time needed to obtain solutions and to increase accuracy of solutions .

 

[Nidum]

If you want to actually solve your problem then start by trying to draw a free body diagram showing the forces acting on anyone person .