Rotational Motion: Inertia and Acceleration

This lecture covers the concepts of rotational motion, inertia, and acceleration. Starting with the safety precautions for dangerous experiments, the instructor explains the calculation of moments of inertia and provides examples of objects in rotational motion. The lecture also delves into the stability of gyroscopes and practical applications of rigid bodies. Through detailed examples, students learn how to calculate accelerations and moments of inertia for various objects, such as wheels and thin rods. The discussion extends to understanding the forces involved in rotating objects and how they affect stability and motion.

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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 pr

Rigid body

In physics, a rigid body, also known as a rigid object, is a solid body in which deformation is zero or negligible. The distance between any two given points on a rigid body remains constant in time regardless of external forces or moments exerted on it. A rigid body is usually considered as a continuous distribution of mass. In the study of special relativity, a perfectly rigid body does not exist; and objects can only be assumed to be rigid if they are not moving near the speed of light.

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.

Acceleration

In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object. The magnitude of an object's acceleration, as described by Newton's Second Law, is the combined effect of two causes: the net balance of all external forces acting onto that object — magnitude is directly proportional to this net resulting force; that object's mass, depending on the materials out of which it is made — magnitude is inversely proportional to the object's mass.

Gyroscope

A gyroscope (from Ancient Greek γῦρος gŷros, "round" and σκοπέω skopéō, "to look") is a device used for measuring or maintaining orientation and angular velocity. It is a spinning wheel or disc in which the axis of rotation (spin axis) is free to assume any orientation by itself. When rotating, the orientation of this axis is unaffected by tilting or rotation of the mounting, according to the conservation of angular momentum.

Solid Dynamics: Rotational Motion PHYS-101(e): General physics : mechanics

Explores the dynamics of rigid bodies, including moment of inertia and rotational motion concepts, illustrated with practical examples.

Dynamics of Rigid Bodies PHYS-101(e): General physics : mechanics

Covers acceleration, moment of inertia, center of mass, and rotational motion of rigid bodies.

Solid Rotation: Examples and Applications PHYS-101(e): General physics : mechanics

Explores rigid body rotation, moment of inertia, and energy storage applications.

Mechanics: Rotational Motion PHYS-101(k): General physics : mechanics

Delves into rotational motion, exploring moment of inertia and energy conservation in a rotating system.

Rigid Body Dynamics and Gyroscopes PHYS-101(f): General physics : mechanics

Explores moments of inertia, energy of rigid bodies, gyroscopes, and unbalanced wheels.