Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Gyroscopic Effects: Rotational Dynamics

In course

PHYS-101(a): General physics : mechanics

Le but du cours de physique générale est de donner à l'étudiant les notions de base nécessaires à la compréhension des phénomènes physiques. L'objectif est atteint lorsque l'étudiant est capable de prévoir quantitativement les conséquences de ces phénomène ...

Description

This lecture covers the theorem of angular momentum, gyroscopic effects, precession of a spinning top, and the dynamics of a spinning wheel and chassis system. It also discusses the concept of moment of inertia, forces responsible for changes in kinetic energy, and the behavior of rotating bodies under external forces.

Instructor

Jean-Philippe Hogge

Official source

Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Related concepts (32)

Moment of inertia

The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.

Angular momentum

In physics, angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity – the total angular momentum of a closed system remains constant. Angular momentum has both a direction and a magnitude, and both are conserved. Bicycles and motorcycles, flying discs, rifled bullets, and gyroscopes owe their useful properties to conservation of angular momentum.

Kinetic energy

In physics, the kinetic energy of an object is the form of energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest.

Rigid body dynamics

In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces. The assumption that the bodies are rigid (i.e. they do not deform under the action of applied forces) simplifies analysis, by reducing the parameters that describe the configuration of the system to the translation and rotation of reference frames attached to each body. This excludes bodies that display fluid, highly elastic, and plastic behavior.

Rotational energy

Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object's axis of rotation, the following dependence on the object's moment of inertia is observed: where The mechanical work required for or applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity.

Related lectures (38)

Gyroscopic Effects: Rotational Dynamics

Explores rotational dynamics, gyroscopic effects, and spinning objects' precession.

Angular Momentum and Gyroscopic Effects

Explores angular momentum, gyroscopic effects, and their applications in various systems.

Solid Rotation: Moment of Inertia

Explores solid rotation, moment of inertia, and the Huygens-Steiner rule for parallel axes.

Rotation Dynamics: Moment of Inertia and Kinetic Energy

Explores rotation dynamics, moment of inertia, and kinetic energy in solid bodies rotating around a fixed axis.

Mechanics of Solids: Rotation and Equilibrium