Differential equations | Dynamical systems

Pendulum (mechanics)

A pendulum is a body suspended from a fixed support so that it swings freely back and forth under the influence of gravity. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force acting on the pendulum's mass causes it to oscillate about the equilibrium position, swinging it back and forth. The mathematics of pendulums are in general quite complicated. Simplifying assumptions can be made, which in the case of a allow the equations of motion to be solved analytically for small-angle oscillations. (Wikipedia).

Pendulum (mechanics)
Video thumbnail

Simple Harmonic Motion (2 of 16): Pendulum, Calculating Period, Frequency, Length and Gravity

In this video I go over five example problems for calculating the period, frequency, length and acceleration due to gravity for a simple pendulum. A pendulum is a mass suspended from a string that is attached to pivot point. There is no friction so that the pendulum can swing freely. When

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

Simple Harmonic Motion (1 of 16): Period of a Pendulum

This video uses one of the simulations from PhET Interactive Simulation to investigate how changing the mass, length, displacement and gravity of the pendulum affects its period. A pendulum is a mass suspended from a string that is attached to pivot point. There is no friction so that the

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

Pendulum resonance!

In this video i show pendulum resonance for different length of the rope of pendulum.

From playlist MECHANICS

Video thumbnail

The spherical pendulum in the Hamiltonian formalism

We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.

From playlist Programming

Video thumbnail

Physics 37.1 Gauss's Law Understood (29 of 29) Pendulum in an Electric Field

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the period T=? of a pendulum of length=L with a charge=q of mass=m affected by an electric field=E. First video in this series can be seen at: https://youtu.be/2sCmuwTrgDU

From playlist PHYSICS 37.1 GAUSS'S LAW EXPLAINED

Video thumbnail

Pendulum, a simulation made with Excel

The clip demonstrates the physics of a pendulum. It’s implemented with Excel and you can see how things are computed: the gravity (green), its projection on the string (purple), the tangential component of the force (red), the acceleration, the velocity, and finally the location. This is c

From playlist Physics simulations

Video thumbnail

Physics - The Pendulum (2 of 2) The Physical Pendulum (Non-Ideal)

Visit http://ilectureonline.com for more math and science lectures! In this video I will show you how to find the period of oscillation of a physical (non-ideal) pendulum.

From playlist MOST POPULAR VIDEOS

Video thumbnail

Simple Harmonic Motion (3 of 16): Pendulum Conservation of Energy, An Explanation

This video uses one of the simulations from PhET Interactive Simulation to explain conservation of energy for a pendulum. As the pendulum swings through one cycle there is a transfer of energy between kinetic and potential energy. But the because energy cannot be created or destroyed the t

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

Lagrangian and Hamiltonian Mechanics in Under 20 Minutes: Physics Mini Lesson

There's a lot more to physics than F = ma! In this physics mini lesson, I'll introduce you to the Lagrangian and Hamiltonian formulations of mechanics. Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up When you take your first physics class, you learn all ab

From playlist Short Videos

Video thumbnail

Simple Harmonic Motion (6 of 16): Pendulum Velocity from Angle of Displacement

This video explains how to determine the velocity of the pendulum as it moves through its equilibrium position from its angle of displacement. In this video you will be given the angle of displacement. The total mechanical energy of the pendulum remains constant as it swings back and forth

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

Physical Modeling Tutorial, Part 6: Introduction to Multibody Simulation

Discover the concept of multibody modeling with Simscape Multibody.Simscape Multibody extends Simscape with the ability to easily model rigid body mechanical systems in 2D and 3D. - Enter the MATLAB and Simulink Racing Lounge: http://bit.ly/2HhcXnU - Download Example Files: Physical Mod

From playlist Physical Modeling Tutorials

Video thumbnail

Simple Harmonic Motion (4 of 16): Pendulum Conservation of Energy, Example Problems

This video I will go over five example problems using conservation of energy to solve for the kinetic energy, the potential energy, the total energy, the height and velocity of a pendulum. As the pendulum moves through one cycle kinetic and potential energy are converted back and forth. T

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

Sketching Science in the Seventeenth Century - Michael S. Mahoney

Lecture: Michael S. Mahoney, Sketching Science in the Seventeenth Century

From playlist CASVA symposium

Video thumbnail

Lecture 5 | Modern Physics: Classical Mechanics (Stanford)

Lecture 5 of Leonard Susskind's Modern Physics course concentrating on Classical Mechanics. Recorded November 12, 2007 at Stanford University. This Stanford Continuing Studies course is the first of a six-quarter sequence of classes exploring the essential theoretical foundations of mo

From playlist Course | Modern Physics: Classical Mechanics

Video thumbnail

Simple Harmonic Motion (5 of 16): Pendulum Velocity from Height of Displacement

This video explains how to determine the velocity of the pendulum as it moves through its equilibrium position from conservation of energy. In this video you are given the height of the pendulum at its greatest displacement. The total mechanical energy of the pendulum remains constant as i

From playlist Simple Harmonic Motion, Waves and Vibrations

Video thumbnail

The Mysterious Nature of the Wave Pendulum

Sign up on Brilliant for FREE using the link https://brilliant.org/FlammableMaths/ ! =D First 200 people to sign up get 20% off an annual Premium Subscription! DE Solution: https://www.youtube.com/watch?v=2XV5b6YZwdg Little Gauss: https://www.youtube.com/watch?v=9LvNSBTs1ps This video h

From playlist Differential Equations

Video thumbnail

AWESOME Pendulum Waves

Six uncoupled simple pendulums of monotonically increasing lengths dance together to produce visual traveling waves, standing waves, beating, and (seemingly) random motion. The length of each successive shorter pendulum is carefully adjusted so that it executes one additional oscillation i

From playlist MECHANICS

Video thumbnail

What is Quantum Mechanical Spin?

This video extends How Do Quantum Computers Work: http://youtu.be/g_IaVepNDT4 Prof. Morello explains why spin does not mean the particle is actually spinning. Subatomic particles like the electron, neutron, and proton have spin, which means they act like tiny bar magnets. This can be used

From playlist From Transistors to Quantum Computers

Video thumbnail

Pendulum Motion

Watch more videos on http://www.brightstorm.com/science/physics SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► htt

From playlist Physics

Related pages

Differential equation | Elliptic integral | Double pendulum | Hooke's law | Ellipse | Chain rule | Mathieu function | Angular velocity | Phase plane | Imaginary number | Gravitational energy | Nome (mathematics) | Radian | On-Line Encyclopedia of Integer Sequences | Arithmetic–geometric mean | APMonitor | Rigid body | Small-angle approximation | Christiaan Huygens | Cycloid | Real number | Harmonic oscillator | Lagrangian mechanics | Magnitude (mathematics) | Double factorial | Integration by substitution | Doubly periodic function | Torque | Constant of integration | Moment of inertia