Spinning Flywheel in Suitcase: Understanding Torque and Precession

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SUMMARY

The discussion centers on the physics of a spinning flywheel mounted in a suitcase, specifically examining the effects of torque and precession when a porter attempts to navigate a corner. The flywheel has a mass of 5 kg, a radius of gyration of 20 cm, and spins at 600 rpm. To successfully maneuver around a right-angled bend in 3 seconds, the porter should carry the suitcase in a way that minimizes the effects of precession, likely by tilting the suitcase in the direction of the turn. The equations for torque and moment of inertia are crucial for understanding the dynamics involved.

PREREQUISITES
  • Understanding of torque and angular acceleration
  • Familiarity with moment of inertia and radius of gyration
  • Basic knowledge of rotational motion and precession
  • Experience with practical demonstrations of angular momentum
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  • Study the principles of torque and angular acceleration in detail
  • Explore the concept of moment of inertia and its calculation
  • Research practical demonstrations of precession using spinning objects
  • Learn about the applications of angular momentum in real-world scenarios
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Physics students, educators, and anyone interested in the practical applications of rotational dynamics and precession in everyday scenarios.

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Homework Statement


A famous practical joke makes use of a suitcase, inside which is mounted a flywheel which is rapidly spinning about a horizontal axis. Describe what a porter experiences when he tries to turn the corner carrying the suitcase. If the flywheel has a mass of 5 kg, a radius of gyration of 20 cm, and is spinning at 600 rpm, suggest a way the porter should carry the suitcase to be able to go round a right-angled bend in just 3 seconds.

Homework Equations


torque=(moment of inertia)(angular acceleration)
moment of inertia=(radius of gyration)^2(mass)

The Attempt at a Solution


Please see attached file for my solution. I think I have the description of what the porter experiences correct but i don't no about the rest.

!Thanks!
 

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Have you ever tried the demonstration where you sit on a swivel chair and hold a bicycle wheel by the axle?
Someone spins the wheel up, and you turn the wheel while it is spinning?

How about the one where the wheel precesses?

If so, then you should be able to relate what you've done to those experiences.
If not, then you need need the experience. There should be videos of this.


 
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