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11.22: Precession of a Gyroscope
https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/11%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/11.22%3A_Precession_of_a_Gyroscope
When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyrosc...When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyroscope is not spinning, it acquires angular momentum in the direction of the torque, and it rotates about a horizontal axis, falling over just as we would expect.
6.7: Precession
https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/06%3A_The_Celestial_Sphere/6.07%3A_Precession
From the point of view of classical mechanics, Earth is an oblate symmetric top. That is to say, it has an axis of symmetry and two of its principal moments of inertia are equal and are less than the ...From the point of view of classical mechanics, Earth is an oblate symmetric top. That is to say, it has an axis of symmetry and two of its principal moments of inertia are equal and are less than the moment of inertia about the axis of symmetry. The phenomena of precession of such a body are well understood and are studied in courses of classical mechanics. It is necessary, however, to be clear in one’s mind about the distinction between torque-free precession and torque-induced precession.
5.9: Precession and Nutation
https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/05%3A_Rotational_Motion_Torque_and_Angular_Momentum/5.09%3A_Precession_and_Nutation
The action of a torque causes a change in angular momentum, as expressed by Equation 5.7.1. A special case arises when the torque is perpendicular to the angular momentum: in that case the change affe...The action of a torque causes a change in angular momentum, as expressed by Equation 5.7.1. A special case arises when the torque is perpendicular to the angular momentum: in that case the change affects only the direction of the angular momentum vector, not its magnitude.
12.5: Precession of a Gyroscope
https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/12%3A__Angular_Momentum/12.05%3A_Precession_of_a_Gyroscope
When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyrosc...When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyroscope is not spinning, it acquires angular momentum in the direction of the torque, and it rotates about a horizontal axis, falling over just as we would expect.
27.5: Steady Precession
https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Graduate_Classical_Mechanics_(Fowler)/27%3A_Euler_Angles/27.05%3A_Steady_Precession
$I_{1}^{\prime} \ddot{\theta}=I_{1}^{\prime} \dot{\phi}^{2} \sin \theta \cos \theta-I_{3}(\dot{\phi} \cos \theta+\dot{\psi}) \dot{\phi} \sin \theta+M g \ell \sin \theta$ But this is a quadratic equa... $I_{1}^{\prime} \ddot{\theta}=I_{1}^{\prime} \dot{\phi}^{2} \sin \theta \cos \theta-I_{3}(\dot{\phi} \cos \theta+\dot{\psi}) \dot{\phi} \sin \theta+M g \ell \sin \theta$ But this is a quadratic equation, there’s another possibility: in this large $\Omega_{3}$ limit, this other possibility is that $\Omega_{p r} \text { is itself of order } \Omega_{3}$ , so now in the equation the last term, the gravitational one, is negligible, and
2.3: Ancient Astronomy
https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Astronomy_2e_(OpenStax)/02%3A_Observing_the_Sky_-_The_Birth_of_Astronomy/2.03%3A_Ancient_Astronomy
Ancient Greeks such as Aristotle recognized that Earth and the Moon are spheres, and understood the phases of the Moon, but because of their inability to detect stellar parallax, they rejected the ide...Ancient Greeks such as Aristotle recognized that Earth and the Moon are spheres, and understood the phases of the Moon, but because of their inability to detect stellar parallax, they rejected the idea that Earth moves. Eratosthenes measured the size of Earth with surprising precision. Hipparchus carried out many astronomical observations, making a star catalog, defining the system of stellar magnitudes, and discovering precession from the shift in the position of the north celestial pole
49.1: Precession
https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/49%3A_The_Gyroscope/49.01%3A_Precession
where $M$ is the mass of the gyroscope wheel, $D$ is the distance between the bottom end of the axle and the wheel, $L$ is the angular momentum of the gyroscope about its axis, and $\theta$ is...where $M$ is the mass of the gyroscope wheel, $D$ is the distance between the bottom end of the axle and the wheel, $L$ is the angular momentum of the gyroscope about its axis, and $\theta$ is the angle of the gyroscope axis from the vertical.
2.1: Ancient Astronomy
https://phys.libretexts.org/Courses/Grossmont_College/ASTR_110%3A_Astronomy_(Fitzgerald)/02%3A_History_of_Astronomy/2.01%3A_Ancient_Astronomy
Ancient Greeks such as Aristotle recognized that Earth and the Moon are spheres, and understood the phases of the Moon, but because of their inability to detect stellar parallax, they rejected the ide...Ancient Greeks such as Aristotle recognized that Earth and the Moon are spheres, and understood the phases of the Moon, but because of their inability to detect stellar parallax, they rejected the idea that Earth moves. Eratosthenes measured the size of Earth with surprising precision. Hipparchus carried out many astronomical observations, making a star catalog, defining the system of stellar magnitudes, and discovering precession from the shift in the position of the north celestial pole
55.1: Precession
https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/55%3A__Earth_Rotation/55.01%3A_Precession
The Earth's rotation axis is currently oriented so that the north axis points near the direction of the star Polaris ( $\alpha$ Ursæ Minoris, sometimes called the "North Star”). The north axis has n...The Earth's rotation axis is currently oriented so that the north axis points near the direction of the star Polaris ( $\alpha$ Ursæ Minoris, sometimes called the "North Star”). The north axis has not always pointed toward Polaris, though; the Earth's rotation axis actually moves in a big circle (of radius $23.5^{\circ}$ ) with a period of about 26,000 years; this motion is called precession.
Precession of a Gyroscope
https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/10%3A_Rotational_Kinematics_Angular_Momentum_and_Energy/10.08%3A__Angular_Momentum/Precession_of_a_Gyroscope
When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyrosc...When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyroscope is not spinning, it acquires angular momentum in the direction of the torque, and it rotates about a horizontal axis, falling over just as we would expect.
4.5.4: Precession of a Gyroscope
https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/04%3A_Module_3_-_Conservation_Laws/4.05%3A_Objective_3.e./4.5.04%3A_Precession_of_a_Gyroscope
When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyrosc...When a gyroscope is set on a pivot near the surface of Earth, it precesses around a vertical axis, since the torque is always horizontal and perpendicular to the angular momentum vector. If the gyroscope is not spinning, it acquires angular momentum in the direction of the torque, and it rotates about a horizontal axis, falling over just as we would expect.

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