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Process
of moving of the considered system
For this
purpose it is required to move mass
To exclude
from calculations coordinate Fig. 13 Fig. 14
It is meant mirror symmetry of movement: starting corner
angular speed change of mass of mobile elements elements
of mobile system stop in a point with coordinates Coordinates of the center of mass of the second mobile system
In a projection to axes of coordinates
system
XOY a linear momentum
Total momentum of systems of mobile
elements in a projection to an axis
Total momentum of two systems of mobile
elements in a projection to an axis
The sum of the moments of momentums of two systems of mobile elements is equal to zero
As it was already mentioned above
(Fig. 3), to coordinates system
XOY it is possible
to compare moving of the center of mass of system of mobile elements
to moving the center of mass of a pendulum of variable length
That is, the mechanical system consisting of two systems of mobile elements, possesses one degree of freedom. Fig. 15
Animated image Fig. 15 :
During
the first half-cycle
During
the second half-cycle
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