Lecture

Constraints, Continuous Systems, and Tension Calculations

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 the concept of position vectors in different coordinate systems, the analysis of a slackline under tension, and the calculation of tension at various points along the slackline. It also explores the physics of a pendulum attached to a door, considering forces and motion equations in spherical coordinates.

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

Related concepts (29)

Coordinate system

In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring.

Polar coordinate system

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The reference point (analogous to the origin of a Cartesian coordinate system) is called the pole, and the ray from the pole in the reference direction is the polar axis. The distance from the pole is called the radial coordinate, radial distance or simply radius, and the angle is called the angular coordinate, polar angle, or azimuth.

Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a directed line segment, or graphically as an arrow connecting an initial point A with a terminal point B, and denoted by . A vector is what is needed to "carry" the point A to the point B; the Latin word vector means "carrier".

Spherical coordinate system

In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin; its polar angle measured from a fixed polar axis or zenith direction; and the azimuthal angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the fixed axis, measured from another fixed reference direction on that plane.

Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in (pronounced "v-hat"). The term direction vector, commonly denoted as d, is used to describe a unit vector being used to represent spatial direction and relative direction. 2D spatial directions are numerically equivalent to points on the unit circle and spatial directions in 3D are equivalent to a point on the unit sphere.

Related lectures (64)

General Physics: Mechanics

Covers mechanics concepts in different coordinate systems, explaining position, velocity, and acceleration vectors.

Coordinate Systems: Polar, Cylindrical, Spherical

Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.

Polar Coordinates: Position and Velocity

Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.

Rotating Vectors in Physics 1

Explores rotating vectors in physics, emphasizing the norm-angular speed relationship and various coordinate systems.

Analytical Study of Lines in the Plane