Lecture

Rigid body rotation and static equilibrium

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

In course

PHYS-101(en): General physics : mechanics (English)

Students will learn the principles of mechanics to enable a better understanding of physical phenomena, such as the kinematics and dyamics of point masses and solid bodies. Students will acquire the capacity to quantitatively analyze these effects with the ...

Description

This lecture covers topics related to rotational motion and static equilibrium, including concepts such as rotational kinetic energy, moment of inertia, torque, and the conditions for static equilibrium in rigid bodies. The instructor discusses the relationship between angular velocity, acceleration, and net force vectors, as well as the application of the right-hand rule in determining directions. Examples and demonstrations illustrate the principles of rolling without slipping, parallel axis theorem, and the transfer of energy between translation and rotation. The lecture also addresses Newton's laws for rotation about a fixed axis and the importance of torque in maintaining static equilibrium in solid bodies.

Instructors (3)

Suliana Manley

From 2016 Associate professor, EPFL, Lausanne, Switzerland 2009-2016 Tenure-track assistant professor, EPFL, Lausanne, Switzerland 2006-2009 Post-Doctoral fellow, National Institutes of Health, Bethesda, MD, USA 2004-2006 Post-Doctoral fellow, Massachusetts Institute of Technology, Cambridge, MA, USA 1999-2004 PhD (Physics) Awarded 06/2004, Harvard University, Cambridge, MA, USA 1993-1997 Bachelors (Cum Laude) Physics & Mathematics, Rice University, Houston, TX, USA

Marcelo Baquero Ruiz

Teaching & PhD PhD Students Michael Goddijn, Cyrille Sepulchre Past EPFL PhD Students as codirector Kadi Lyes Roland Courses Fusion and industrial plasma technologies PHYS-632 The course provides an overview of the technologies that are essential for fusion developments and for industrial plasmaapplications, highlighting the synergies between the two fields. The aim is to provide a combined theoretical andexperimental background to the various topics. General physics : mechanics (English

Justin Richard Ball

Dr. Justin Ball is a staff scientist studying theoretical plasma physics and nuclear fusion energy. His research primarily focuses on the effect of plasma shaping on turbulence in tokamaks. He is the principle investigator of the EUROfusion Theory, Simulation, Verification, and Validation project on negative triangularity. Additionally, he is an avid fusion science communicator via magazine articles, lectures, and podcasts. In 2019, he and Jason Parisi published a popular science book titled The Future of F

Official source

Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Related concepts (32)

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.

Newton's laws of motion

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows: A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force. When a body is acted upon by a force, the time rate of change of its momentum equals the force. If two bodies exert forces on each other, these forces have the same magnitude but opposite directions.

Rotation

Rotation or rotational motion is the circular movement of an object around a central line, known as axis of rotation. A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a center of rotation. A solid figure has an infinite number of possible axes and angles of rotation, including chaotic rotation (between arbitrary orientations), in contrast to rotation around a axis.

Center of mass

In physics, the center of mass of a distribution of mass in space (sometimes referred to as the balance point) is the unique point at any given time where the weighted relative position of the distributed mass sums to zero. This is the point to which a force may be applied to cause a linear acceleration without an angular acceleration. Calculations in mechanics are often simplified when formulated with respect to the center of mass. It is a hypothetical point where the entire mass of an object may be assumed to be concentrated to visualise its motion.

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.

Related lectures (64)

Référentiels en mouvement: analyse de cas particuliers

Explores the relationship between velocity and acceleration in different moving reference frames, focusing on specific cases.

Rigid body rotation and static equilibrium

Explores rotational motion, static equilibrium, and torque in rigid bodies.

Angular Momentum Theorem: Dynamics of Solid

Explores the angular momentum theorem and dynamics of solids with fixed axes, including the physical pendulum and vector components of angular momentum.

Moment of Inertia

Explains the concept of moment of inertia in rigid body rotation and torque.

Rigid body rotation and static equilibrium

Covers rotational motion, static equilibrium, stability, and acceleration in practical examples.

Related concepts (32)

Rotational energy

Newton's laws of motion

Rotation

Center of mass

Angular momentum