Assuming that the gyroscope is at a point on the Earth's surface with latitude A and that ws >> 7, 3x10-5 s-1, show that the axis of the disk oscillates around the direction that points north and calculate the period of oscillation (for simplicity, assume that the mass of the disk is much greater than the mass of the other components of the device)
Assuming that the gyroscope is at a point on the Earth's surface with latitude A and that ws >> 7, 3x10-5 s-1, show that the axis of the disk oscillates around the direction that points north and calculate the period of oscillation (for simplicity, assume that the mass of the disk is much greater than the mass of the other components of the device)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
10
![A gyroscope can be used to find
geographic north without needing a
compass. It consists of a disk of mass m and
radius R that rotates with constant angular
velocity, ws, around its axis of symmetry,
which is constrained to remain horizontal
but can rotate around the vertical (figure
below).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14124069-1ffc-4e14-b71e-29906fe99c4a%2F2ecacc6d-e73e-4bbe-a851-be143eecbcbe%2Fxlakoxo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A gyroscope can be used to find
geographic north without needing a
compass. It consists of a disk of mass m and
radius R that rotates with constant angular
velocity, ws, around its axis of symmetry,
which is constrained to remain horizontal
but can rotate around the vertical (figure
below).
![Assuming that the gyroscope is at a point
on the Earth's surface with latitude A and
that ws >> 7, 3x10¬5 s-1, show that the axis
of the disk oscillates around the direction
that points north and calculate the period
of oscillation (for simplicity, assume that the
mass of the disk is much greater than the
mass of the other components of the
device)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14124069-1ffc-4e14-b71e-29906fe99c4a%2F2ecacc6d-e73e-4bbe-a851-be143eecbcbe%2Fg2868tf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assuming that the gyroscope is at a point
on the Earth's surface with latitude A and
that ws >> 7, 3x10¬5 s-1, show that the axis
of the disk oscillates around the direction
that points north and calculate the period
of oscillation (for simplicity, assume that the
mass of the disk is much greater than the
mass of the other components of the
device)
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