PPT-Phase space diagram for pendulum

Hysteresis Why does this happen The effective spring constant depends on the amplitude And the amplitude depends on the spring constant. The Affinity process is often used to group ideas generated by Brainstorming Why should teams use the Affinity process The Affinity process is a good way to get people to work on a creative level to address difficult issues It may be used in situati Limit cycle in phase space: no sensitivity to initial conditions. Pendulum with friction. Fixed point attractor in phase . space: no sensitivity to initial conditions. Pendulum with friction: basin of attraction. Dan Hampton and Wolfgang Christian. Abstract. The double pendulum provides an ideal system in which to study chaotic motion. The system is relatively simple, but an infinitesimally small change in the initial conditions of the pendulum produces a drastically different trajectory for energies that exhibit chaotic motion. I use a phase-space plot, a Poincaré section, and a 3D trace to graphically represent the pendulum’s motion. The simulation allows for the initial energy and the masses on each pendulum to vary. The Feldberg eighth order numerical method serves as the algorithm for computing the motion. The program shows the energies at which the motion becomes chaotic while sometimes still exhibiting quasiperiodic trajectories, and it quantitatively demonstrates the unpredictability of this simple system. . o. .. Draw the free body force diagram. . Calculate the weight of the mass.. State the vertical component. . Calculate the horizontal component.. Calculate the tension in the string.. Draw and label the force vector diagram.. Surya Tahir/BTEC National Diploma/Pendulum Experiment. Covers objectives:. P3 – demonstrate the ability to plot a linear graph using scientific data. P3 – Calculate the rate of change by the most appropriate method. By: . Nahdir. Austin . Honors Physics. Period 2 . History of the . Pendelum. First used in the . H. an dynasty’s seismometer device by scientists Zhang . Heng. .. T. enth century Egyptian astronomer Ibn Yunis used a pendulum for time measurement.. General Physics. Periodic Motion. A . motion . that is regular and repeating. Examples. Circular motion. Mass bouncing up and down on a spring . Pendulums. Simple Harmonic Motion (SHM). motion that returns an object to its rest position. P is directed in the negative Read “The Black Cat” by Edgar Allan Poe.. Use what you have read to write an essay that provides an analysis of how the author’s choices concerning how he structured specific parts of the text contribute to the story’s overall structure and aesthetic impact. . In an oscillating spring, where is the . maximum acceleration . achieved?. Answer: . At . the . maximum displacement positions. When the spring is stretched and released, what direction does the spring force act?. Control: Inverted Pendulum Resonance. The pendulum. Springs. Harmonic motion. Mechanical waves. Sound waves. Musical instruments. Tacoma Narrows Bridge. November 7, 1940. http://www.youtube.com/watch?v=xox9BVSu7Ok. 1. Flow past an object. Does a paper ball pendulum’s mass affect its period?. Arnando. . Shastrini. Minnesota State University Moorhead. Introduction. In textbooks a pendulum is idealized as a point mass on a . massless. And a bit about its history. Anita Chowdry. What is a HARMONOGRAPH, and what does it do?. The Harmonograph is a pendulum-driven device that makes drawings.. The drawings are visual expressions of the combined frequencies of the pendulum oscillations..