Vertical force exerted by a spinning non-perpendicular gyroscope

In summary, the weight shown on the scale with a gyroscope inside a tilted wooden box is still 1 kg. This is because the gyroscope exhibits an effect where the force applied to it travels 90 degrees along its rim before taking effect. This rule applies regardless of the rotational speed of the gyroscope.
  • #1
aeroseek
49
0
A wooden box on a weighing scale weighs 1 kg. Inside the box is a gyroscope which is set spinning, and the box is now tilted at 45 degrees to the vertical and maintains this position due to the gyroscope inside.

What is the weight shown on the scale - is it 1 kg or less than 1 kg? Why is this?

Some contradictory answers here:

http://physics.stackexchange.com/questions/33866/does-a-toy-top-weigh-less-when-it-is-spinning
 
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  • #2
Why would you think it would weigh less?
 
  • #3
Apply Newtons laws. What is the acceleration of the center of mass? What force is required to make that acceleration?
 
  • #4
Watch this video:

https://www.youtube.com/watch?v=GeyDf4ooPdo

https://www.youtube.com/watch?v=tLMpdBjA2SU
 
Last edited:
  • #5
Great video A.T.! Thanks for posting. (Be sure to view the follow up explanatory videos. I remember the nonsense from Laithwaite some years back.)
 
  • #6
Great video - I guess you guys can answer anything! Granted the gyroscope does not weigh less.

The question is then what effect does the gyroscope exhibit and why?

I used to simplify its effect as the following rule - push on the rim of a gyroscope and the force travels 90 degrees along the rim of the gyroscope in the direction of rotation before manifesting itself - any force takes effect not at the point of action but some place further along the rim - regardless of rotational speed? Why?
 

1. What is a gyroscope?

A gyroscope is a device that is used to measure or maintain orientation and angular velocity. It consists of a spinning rotor that is mounted on a set of gimbals, allowing it to maintain its orientation in space regardless of any external forces acting on it.

2. How does a gyroscope exert vertical force?

A gyroscope exerts a vertical force due to its spinning motion. As the gyroscope rotates, it generates a centrifugal force that is directed upwards, perpendicular to the plane of rotation. This centrifugal force is what causes the gyroscope to resist any external forces and maintain its orientation.

3. Does the angle of the gyroscope affect the vertical force it exerts?

Yes, the angle of the gyroscope does affect the vertical force it exerts. The vertical force is greatest when the gyroscope is spinning at a perpendicular angle to the ground. As the angle of the gyroscope decreases, the vertical force decreases as well.

4. Can a gyroscope exert both vertical and horizontal forces simultaneously?

Yes, a gyroscope can exert both vertical and horizontal forces simultaneously. The vertical force is generated by the spinning motion, while the horizontal force is generated by the gyroscopic precession, a phenomenon where the axis of rotation of the gyroscope changes in response to an external force.

5. What are some practical applications of a gyroscope's vertical force?

The vertical force exerted by a gyroscope has many practical applications. It is used in navigation systems, such as in airplanes and ships, to maintain stability and prevent roll and pitch movements. It is also used in gyroscopic stabilization systems for cameras and other equipment, to reduce shakiness and vibrations. Additionally, it is used in the design of roller coasters and other amusement park rides to provide thrilling and dynamic movements.

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