Solved: In a common design for a gyroscope, the flywheel

Chapter 10, Problem 28DQ

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QUESTION:

Problem 28DQ

In a common design for a gyroscope, the flywheel and flywheel axis are enclosed in a light, spherical frame with the flywheel at the center of the frame. The gyroscope is then balanced on top of a pivot so that the flywheel is directly above the pivot. Does the gyroscope precess if it is released while the flywheel is spinning? Explain.

Questions & Answers

QUESTION:

Problem 28DQ

In a common design for a gyroscope, the flywheel and flywheel axis are enclosed in a light, spherical frame with the flywheel at the center of the frame. The gyroscope is then balanced on top of a pivot so that the flywheel is directly above the pivot. Does the gyroscope precess if it is released while the flywheel is spinning? Explain.

ANSWER:

Solution 28DQ

Introduction

We have to discuss, if the gyroscope is perfectly vertical, does the gyroscope then precess?

Step 1

The angular speed or precession is given by

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