# How does the gyroscopic precession work

Precession of a top

__ __

A symmetrical top is a rigid body that rotates around a fixed point O and has a dynamic axis of symmetry (z'-axis) that goes through its center of gravity. If the point O coincides with the center of gravity of the top, the top is free of forces in the gravitational field. Otherwise one speaks of a heavy top. We consider a top under the influence of an external force F, which acts on the starting point A. In the case of gravity, point A is identical to the center of gravity of the top. The gyro rotates around its axis of symmetry with the frequency w. This is the moment of inertia when rotating around this axis I._{z ’}= I._{S.}so is the angular momentum

_{}

The force F generates a torque D, which is perpendicular to L (in the drawing above, perpendicular to the plane of the drawing). This torque generates a change in angular momentum dL_{y} perpendicular to L:

_{}

Under the influence of the change in angular momentum dL an additional rotation of the gyro around the z-axis with the angular velocity W. This movement is called precession. With

_{}

you get

_{}

or.

_{}

This generally follows

_{}

We discuss the relationship between angular momentum, torque and precession frequency using the precession motion of a wheel as an example:

__ __

The wheel rotating with the frequency w about its axis of symmetry is supported on the axis outside of its center of gravity. The torque generated by its own weight mg

_{}

leads to a precession with the frequency W about the z-axis. Because of

_{}

as _{}and _{}it follows for the amount of W:

_{}

__ __

- What is the penalty for shoplifting
- GoDaddy offers free hosting
- Will buy back Rainbow used vacuum cleaners
- Which camera should I buy for photography?
- How many stones cover 400 square feet
- Why is elonmusk com a blank page
- How do you gain parental respect
- What is 2 2x3
- Is there an open source marketplace platform
- Why is beauty beautiful
- Find online classified ads websites
- Day old bread is safe to eat
- Why is everyone so against guns?
- Being overweight aggravates anxiety
- What is the meaning of the Plancks constant
- Why did you almost leave Quora
- How long do wooden floors last
- Is gold a stone
- Cows can jump
- What is a software license
- How much is 1 million pennies
- Where can you get emo prom dresses
- How do diets work
- Money buys time