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The Mechanical Free Rotator



The Mechanical Free Rotator

When you are inter­ested in physics you must read “Unbe­liev­able”!

The atom is a so-​called free rota­tor. The elec­trons rotat­ing the nucleus infi­nitely at dis­crete energy lev­els with­out los­ing energy or col­laps­ing. We con­sider first the mechan­i­cal free rotator.

Con­sider two masses Mp and Me cir­cling around each other. Both masses are con­nected with a rigid mass less rod with length R=Rp+Re (fig­ure 1).

When both masses Mp and Me are rotat­ing and when there is no inter­ac­tion with any other sys­tem the masses Mp and Me will rotate sta­ble for infi­nite times.

Because both masses are con­nected with an imag­i­nary rigid rod the dynam­ics can be described by clas­si­cal mechan­ics. The rotat­ing point of the sys­tem (fig­ure 1) is deter­mined by the rel­a­tive masses, accord­ing to the fol­low­ing equations:

Because both masses are rigidly con­nected to each other the fol­low­ing equa­tions must be valid:

Fig­ure 1. The Mechan­i­cal Free Rotator

Next chap­ter: The EM-​rotator

When you are interested in physics you must read “Unbelievable“!

The atom is a so-called free rotator. The electrons rotating the nucleus infinitely at discrete energy levels without losing energy or collapsing. We consider first the mechanical free rotator.

Consider two masses Mp and Me circling around each other. Both masses are connected with a rigid mass less rod with length R=Rp+Re (figure 1).

When both masses Mp and Me are rotating and when there is no interaction with any other system the masses Mp and Me will rotate stable for infinite times.

Because both masses are connected with an imaginary rigid rod the dynamics can be described by classical mechanics. The rotating point of the system (figure 1) is determined by the relative masses, according to the following equations:

  

Because both masses are rigidly connected to each other the following equations must be valid:

       

Figure 1. The Mechanical Free Rotator

Next chapter: The EM-rotator

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