PDF-Pendulum Pandemonium

Subject Area s Physical S cience Associated Unit None Associated Lesson None Activity Title Pendulum Pandemonium Header Insert image 1 here right justified to wrap Grade Level 11 9 12 A. 1 Lab M4 The Torsional Pendulum and Moment of Inertia Introduction A torsional pendulum or torsional oscillator consists of a disklike m ss suspended from a thin rod or wire W en the m ss is twisted about the axi 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.. Part 2. Robust Vocabulary Lesson. obligation (p. 504). In the story, Mrs. Frank declares to Mrs. Van Daan, “If my husband had any . obligation. to you, he’s paid it, over and over.” . http://www.inspeech.net. 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. Pendulum Motion. 2. Data Logging. Pendulum Data Logging Program. Application. Measuring period of a pendulum common exercise for students. Period = 2. π. . √. (L/g). 84 ½ inches. 12 ½ inches. Pendulum Data. Pendulums. Gizmo – Energy of a Pendulum. Complete Pendulum handout. Pendulums. What affects the period of a pendulum?. Pendulums. How does the kinetic energy and Potential energy relate to the motion of a pendulum?. m. hanging from a light (massless) string of length . L. . The pendulum undergoes small oscillations, and can be considered to be undergoing simple harmonic motion. If the mass of the point mass is changed to 4. What Reading Teachers Can do. Dr. Kathleen J. Brown, University of Utah Reading Clinic . www.uurc.org. With Heartfelt Thanks to:. Jan Dole. Gale Sinatra. Ralph Reynolds. Darrell Morris. Steve Stahl . 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?. Concepts of Engineering and Technology. Copyright © Texas Education Agency, 2012. All rights reserved.. Clocks. Close-up: Shadow Clock. The shadow clock should have been really called a shadow watch.  It could fit in a pocket and was easy to carry around.  These shadow clocks were used in eighth century BC.  In the morning, the clock's crossbar must face the east and it must be turned around in the afternoon.  The shadow clock was a predecessor to the sundial.   You can learn how to make your own shadow clock.. 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.