Why must there also be a horizontal force acting on the gyroscope due to the pivot?
Gravitational force acts at a center of mass and points downward. Pivot force acts between the end of the axle and the python. This force is also known as contact force.
It may seem that the contact force has only an upward component.. but there is necessary also a radially inward component to the contact force
As the lyroscope flywheel spins and its axis of rotation precesses, we can decompose the vector in newton second law, into vertical and radial direction.
Vertical direction
Inward direction
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