Summer School: Granular Materials from Simulations to Astrophysical Applications
|
|
- Kristian Bates
- 5 years ago
- Views:
Transcription
1 Summer School: Granular Materials from Simulations to Astrophysical Applications Hosted by CSCAMM and the University of Maryland Burgers Program in Fluid Dynamics Organizers: Derek Richardson, Astronomy Wolfgang Losert, Physics Eitan Tadmore, CSCAMM Support: Burgers Program for Fluid Dynamics Center for Theory and Computation National Science Foundation European Space Agency [NASA support requested]
2 Labtours Friday June 17th 2pm Neutral Buoyancy Facility (test of weightless robotics) 2.30pm Dynamo Experiment (self generation of magnetic fields) 3pm Three dimensional imaging of granular flows 3.30pm Fluid Dynamics Lab (tentative)
3 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
4 Granular materials Gravel Rocks Coffee Sand
5 Astrophysical granular matter MARS ASTEROID McEwan, 1989 Mars rock avalanche. The landslide fell 5 miles and ran out 65 miles. Regolith migration on Eros
6 Static Granular Materials Nature, 387 (1997)
7 Flow of Granular Matter Avalanches Shear Flows x=3
8 Granular Materials Made up of many solid particles >> 1 micron. Lifting 1 mm bead by one bead diameter: k b T mgd Motion requires energy input >> thermal energy Interaction between grains (Friction and inelastic collisions) dissipates kinetic energy. System not in thermal equilibrium
9 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications DEMO Wolfgang Losert
10 Static granular matter: jammed state Without energy input, in confinement, granular matter is jammed Blue line: Contact force brightness ~ Magnitude From Corey O Hern Significant progress in past 10 years to define and characterize an idealized jamming transition for hard spheres without friction. (Liu, Makse, Nagel, O Hern, Radjai, Snoijer, Saarloos, etc)
11 Challenges in modeling jamming Since kt is too small to move grains noticeably, the system does not equilibrate Physical principles that rely on a thermal equilibrium reference state (e.g. minimization of free energy, maximization of entropy) do not apply.
12 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
13 Experiments on Aging and Strengthening Frame Horizontal displacement sensor Spring Vertical sensor Target Sliding plate granular layer Plate weight: g Granular material: Glass beads µm DIA Layer depth: 3 mm Spring constant: N/m High Sensitivity Measurements Displacement sensors: h = 0.1 µm Force measurement: F / F = 0.01 % W. Losert et al Phys. Rev. E. 61, 4060 (2000)
14 Friction between two solid objects Static friction coefficient: S FS / FN Dynamic friction coefficient: D FD / FN
15 Dynamics: Stick-Slip Motion Dynamics: Stick-slip motion 500 d (µm) B C s d 0 0 A 5 10 t (s) A L 0 V B L + d 0 M C L + d 0 m 0 X
16 Friction in granular material kept under shear stress for 10 hours s of first slip larger than s of other slips d Shear Stress for 10 hours time (s) Stick-Slip motion: m=26.6g, k=189 N/m 11/29/98 experiment Strengthening of granular layer under stress
17 Friction between two solid objects Static friction coefficient: Dynamic friction coefficient: S FS / FN D FD / FN *The above are (very good!) approximations. Static friction increases with stick time S S0 ln / is O(10-2 ) 0 Dynamic friction decreases with sliding speed ( V) ln V / V D D0 0 Hahner and Spencer, Phys. Today 51, 23 (1998) Krim, MRS Bull. 23, 20 (1998)
18 Waiting time strengthening Waiting Time Strengthening (Shear stress during waiting time) F max /F norm waiting time (s) Friction increases roughly logarithmically with waiting time (for t > 500 s)
19 Geophysical friction laws for granular materials: Dietrich/Ruina V V0 D( V ) D0 ln ln V D 0 C Strain dependent strengthening A. Ruina, J. Geophys. Res. 88, (1983): d V V (1) ln dt DC DC Time dependent Strengthening J.H. Dieterich, J. Geophys. Res. 84, 2161 (1979) d (2) 1 dt V D C
20 Waiting without shear stress for 16 hours 450 spring displacement (µm) time (s) No strengthening without applied stress No strengthening, if direction of shear stress during waiting and during motion are opposite (not shown)
21 Aging under thermal cycling OVEN Glass beads and plastic container From: Peter Schiffer, Penn State
22 Compaction through thermal cycling System: glass container filled with plastic beads (or vice versa) Heating expands plastic more than glass (Schiffer group, Nature, 2006) Slow compaction of granular matter (without giving individual grains significant kinetic energy)
23 han1.5cgeinpackingfractionsimple thermal cycling results Clear and systematic change in packing fraction! (%) 0.5mm 0.9mm 2mm Change in temperature ( C) From: Peter Schiffer, Penn State
24 Thermal packing dependence on repeated cycles Packing Fraction (%) T = 107 o C T = 41 o C Cycle number Peter Schiffer, Penn State
25 Effect of repeated cycles can be understood through simple two-component model Packing Fraction (%) T = 107 o C T = 41 o C Cycle number n max 1 2 Peter Schiffer, Penn State PF PF A e A e n 1 2 Barker and Mehta
26 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
27 Granular Flow Inertia Number I d: particle diameter : particle density
28 Effects of mesoscale structure Schematic Contact network steady shear Schematic Contact network shear reversal Toiya et al. PRL 2004 Observations - Notable rolling/sliding during steady shear - Significantly different motion during shear reversal Masahiro Toiya
29 Small initial torque during shear reversal shear reversal Derek Updegraaf with E. Wandersman, J. Dijksman, M. van Hecke DEMO
30 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
31 Excited Granular Matter An example of a granular gas Energy input into a granular gas Experimental Setup CCD Camera (up to 10,000 frames/s) 32 cm Vertical Shaker ( Hz) granular material: spherical beads, 4 mm Dia
32 Velocity Distribution Acceleration= 5g ; frequency = 100Hz ; coverage = 0.42 Gaussian Velocity distribution best fit by in agreement with recent theoretical predictions. P ( v ) e v 1.5 Granular gases have non-gaussian velocity distribution
33 Energy of particle mixtures No Equipartition of energy
34 Bistability
35 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
36 Granular Segregation (Image by H. Makse) Flowing granular materials segregate according to particle properties (size, density, shape, and more). (Image by H. Makse)
37 Axial Bands See Newey et al. Europhysics Letters 2004
38 Particle Speed on Surface
39 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
40 Anisotropic yield surface
41 Aging/Strengthening in Astrophysics? Thermal Cycling on the Moon Daytime: +120 o C Night: -150 o C [lunarpedia.org] The pole is a regions not exposed to thermal cycling. Will it be equally compacted? DEMO
42 Long Runout Rock Avalanches The Blackhawk event in California Field Data: Rock avalanche probabilities are correlated with the direction of prior shear (Friedmann, Kwon & Losert, J. Geophys. Res 2003)
43 Forces in Astrophysical Applications Holding Granular Matter together: Rearranging Granular Matter: Gravity Van der Waals Charges Tidal forces Seismic forces Centrifugal forces
44 Outline Intro: What are granular materials? Granular Materials Jam Granular Materials Age and Strengthen Granular Flow Granular Gas Segregation Astrophysical Applications Wolfgang Losert
Granular Experiments. Wolfgang Losert, Department of Physics University of Maryland
Summer School: Granular Materials from Simulations to Astrophysical Applications Hosted by CSCAMM and the University of Maryland Burgers Program in Fluid Dynamics Granular Experiments Wolfgang Losert,
More informationGRANULAR DYNAMICS ON ASTEROIDS
June 16, 2011 Granular Flows Summer School Richardson Lecture 2 GRANULAR DYNAMICS ON ASTEROIDS Derek C. Richardson University of Maryland June 16, 2011 Granular Flows Summer School Richardson Lecture 2
More informationPacking grains by thermally cycling
Packing grains by thermally cycling One of the oldest and most intriguing problems in the handling of materials is how a collection of solid grains packs together. 1 While granular packing is normally
More informationMechanisms for slow strengthening in granular materials
PHYSICAL REVIEW E VOLUME 61, NUMBER 4 APRIL 2000 Mechanisms for slow strengthening in granular materials W. Losert, 1 J.-C. Géminard, 1,2 S. Nasuno, 1,3 and J. P. Gollub 1,4 1 Physics Department, Haverford
More information4/14/11. Chapter 12 Static equilibrium and Elasticity Lecture 2. Condition for static equilibrium. Stability An object is in equilibrium:
About Midterm Exam 3 When and where Thurs April 21 th, 5:45-7:00 pm Rooms: Same as Exam I and II, See course webpage. Your TA will give a brief review during the discussion session. Coverage: Chapts 9
More informationEffective Temperatures in Driven Systems near Jamming
Effective Temperatures in Driven Systems near Jamming Andrea J. Liu Department of Physics & Astronomy University of Pennsylvania Tom Haxton Yair Shokef Tal Danino Ian Ono Corey S. O Hern Douglas Durian
More informationLecture 6 Physics 106 Spring 2006
Lecture 6 Physics 106 Spring 2006 Angular Momentum Rolling Angular Momentum: Definition: Angular Momentum for rotation System of particles: Torque: l = r m v sinφ l = I ω [kg m 2 /s] http://web.njit.edu/~sirenko/
More informationFrictional rheologies have a wide range of applications in engineering
A liquid-crystal model for friction C. H. A. Cheng, L. H. Kellogg, S. Shkoller, and D. L. Turcotte Departments of Mathematics and Geology, University of California, Davis, CA 95616 ; Contributed by D.
More information2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity
2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity Energy 7 4 Kinematics Free fall Collisions 3 5 Dynamics
More informationOn the reversibility of granular rotations and translations
On the reversibility of granular rotations and translations Anton Peshkov, Michelle Girvan, Derek C. Richardson, 3 and Wolfgang Losert IREAP, University of Maryland, College Park, Maryland, USA Departments
More informationPhysics 101: Lecture 15 Torque, F=ma for rotation, and Equilibrium
Physics 101: Lecture 15 Torque, F=ma for rotation, and Equilibrium Strike (Day 10) Prelectures, checkpoints, lectures continue with no change. Take-home quizzes this week. See Elaine Schulte s email. HW
More informationThe Completely Inelastic Bouncing Ball
The Completely Inelastic Bouncing Ball November 2011 N. Arora, P. Gray, C. Rodesney, J. Yunis Completely Inelastic Bouncing Ball? Can there be an inelastic bouncing ball? The ball is constrained to move
More information1 2 Models, Theories, and Laws 1.5 Distinguish between models, theories, and laws 2.1 State the origin of significant figures in measurement
Textbook Correlation Textbook Correlation Physics 1115/2015 Chapter 1 Introduction, Measurement, Estimating 1.1 Describe thoughts of Aristotle vs. Galileo in describing motion 1 1 Nature of Science 1.2
More informationMechanics of Earthquakes and Faulting
Mechanics of Earthquakes and Faulting Lecture 9, 21 Sep. 2017 www.geosc.psu.edu/courses/geosc508 Rate and State Friction Velocity step test to measure RSF parameters SHS test to measure RSF parameters
More informationContinuum Model of Avalanches in Granular Media
Continuum Model of Avalanches in Granular Media David Chen May 13, 2010 Abstract A continuum description of avalanches in granular systems is presented. The model is based on hydrodynamic equations coupled
More informationPhysics Lecture 13. P. Gutierrez. Department of Physics & Astronomy University of Oklahoma
Physics 2514 Lecture 13 P. Gutierrez Department of Physics & Astronomy University of Oklahoma P. Gutierrez (University of Oklahoma) Physics 2514 February 23, 2011 1 / 14 Goal Goals for today s lecture:
More informationInhomogeneous elastic response of amorphous solids
Inhomogeneous elastic response of amorphous solids Jean-Louis Barrat Université de Lyon Institut Universitaire de France Acknowledgements: Anne Tanguy, Fabien Chay Goldenberg, Léonforte, Michel Tsamados
More informationVelocity statistics in excited granular media
CHAOS VOLUME 9, NUMBER 3 SEPTEMBER 1999 Velocity statistics in excited granular media W. Losert, D. G. W. Cooper, and J. Delour Department of Physics, Haverford College, Haverford, Pennsylvania 19041 A.
More informationKinematics (special case) Dynamics gravity, tension, elastic, normal, friction. Energy: kinetic, potential gravity, spring + work (friction)
Kinematics (special case) a = constant 1D motion 2D projectile Uniform circular Dynamics gravity, tension, elastic, normal, friction Motion with a = constant Newton s Laws F = m a F 12 = F 21 Time & Position
More informationThis false color image is taken from Dan Howell's experiments. This is a 2D experiment in which a collection of disks undergoes steady shearing.
This false color image is taken from Dan Howell's experiments. This is a 2D experiment in which a collection of disks undergoes steady shearing. The red regions mean large local force, and the blue regions
More informationLab Friction Cube. Esperanza Academy
/ 50 Lab Cube Names of Team Purpose Students will explore static and kinetic frictional forces by studying different types of surfaces and how they perform under constant force. Students will also learn
More informationPhysics A - PHY 2048C
Kinetic Mechanical Physics A - PHY 2048C and 11/01/2017 My Office Hours: Thursday 2:00-3:00 PM 212 Keen Building Warm-up Questions Kinetic Mechanical 1 How do you determine the direction of kinetic energy
More informationPhysics 121, April 3, Equilibrium and Simple Harmonic Motion. Physics 121. April 3, Physics 121. April 3, Course Information
Physics 121, April 3, 2008. Equilibrium and Simple Harmonic Motion. Physics 121. April 3, 2008. Course Information Topics to be discussed today: Requirements for Equilibrium (a brief review) Stress and
More informationfriction friction a-b slow fast increases during sliding
µ increases during sliding faster sliding --> stronger fault --> slows sliding leads to stable slip: no earthquakes can start velocity-strengthening friction slow fast µ velocity-strengthening friction
More informationcollisions inelastic, energy is dissipated and not conserved
LECTURE 1 - Introduction to Granular Materials Jamming, Random Close Packing, The Isostatic State Granular materials particles only interact when they touch hard cores: rigid, incompressible, particles
More informationISMS Paper No Modelling the impact of particle flow on rigid structures: experimental and numerical investigations
Paper No. 210 ISMS 2016 Modelling the impact of particle flow on rigid structures: experimental and numerical investigations M.A. Meguid a, Ge Gao b, M.M. Abouelkair c and M.Z. Abdelrahman c a Associate
More informationPhysics 141 Rotational Motion 2 Page 1. Rotational Motion 2
Physics 141 Rotational Motion 2 Page 1 Rotational Motion 2 Right handers, go over there, left handers over here. The rest of you, come with me.! Yogi Berra Torque Motion of a rigid body, like motion of
More informationThurs Sept.23. Thurs Sept. Phys .23. Why is it moving upwards after I let go? Don t forget to read over the lab write-up and be ready for the quiz.
ics Announcements day, ember 23, 2004 Ch 5: Newton s 1st and 2nd Laws Example Problems Ch 6: Intro to Friction static kinetic Help this week: Wednesday, 8-9 pm in NSC 118/119 Sunday, 6:30-8 pm in CCLIR
More informationThe Strength of Small Rubble Pile Asteroids
The Strength of Small Rubble Pile Asteroids D.J. Scheeres and P. Sánchez Department of Aerospace Engineering Sciences The University of Colorado Boulder Research support from NASA s NEOO and PG&G programs
More informationGet Discount Coupons for your Coaching institute and FREE Study Material at Force System
Get Discount Coupons for your Coaching institute and FEE Study Material at www.pickmycoaching.com Mechanics Force System When a member of forces simultaneously acting on the body, it is known as force
More informationChapter 5 Applying Newton s Laws
Chapter 5 Applying Newton s Laws In this chapter we will introduce further applications of Newton s 1 st and 2 nd law. In summary, all of the contact forces and action-at-a-distance forces will go on the
More informationEntropy generation and transport
Chapter 7 Entropy generation and transport 7.1 Convective form of the Gibbs equation In this chapter we will address two questions. 1) How is Gibbs equation related to the energy conservation equation?
More informationDynamics Notes.notebook October 22, 2018
Dynamics 1 Kinematics Description of how objects move (what we just finished) Dynamics Description of why objects move Connection between force and motion Newton's Laws of Motion Force something capable
More informationIntroduction to Granular Physics and Modeling Methods
Introduction to Granular Physics and Modeling Methods Stefan Luding MSM, TS, CTW, UTwente, NL Stefan Luding, s.luding@utwente.nl MSM, TS, CTW, UTwente, NL Granular Materials Real: sand, soil, rock, grain,
More informationSolutions Midterm Exam 3 December 12, Match the above shown players of the best baseball team in the world with the following names:
Problem 1 (2.5 points) 1 2 3 4 Match the above shown players of the best baseball team in the world with the following names: A. Derek Jeter B. Mariano Rivera C. Johnny Damon D. Jorge Posada 1234 = a.
More informationMotion, Forces, and Energy
Motion, Forces, and Energy What is motion? Motion - when an object changes position Types of Motion There are 2 ways of describing motion: Distance Displacement Distance Distance is the total path traveled.
More informationMolecular dynamics simulations of sliding friction in a dense granular material
Modelling Simul. Mater. Sci. Eng. 6 (998) 7 77. Printed in the UK PII: S965-393(98)9635- Molecular dynamics simulations of sliding friction in a dense granular material T Matthey and J P Hansen Department
More informationPattern Formation in a Rotating Aqueous Suspension arxiv:cond-mat/ v3 [cond-mat.soft] 13 Feb 2003
Europhysics Letters PREPRINT Pattern Formation in a Rotating Aqueous Suspension arxiv:cond-mat/373v3 [cond-mat.soft] 3 Feb 3 A. P. J. Breu, C. A. Kruelle and I. Rehberg Experimentalphysik V, Universität
More informationFriction in Rocks Assigned Reading: {Marone, 1998 #3905; Chapter 8 in \Paterson, 2005 #5865} Resource reading: {Scholz, 1990 #4288; Ruina, 1985 #1586}
12.524, 2005 09 28 LE04: Friction and Constitutive Laws 1 Friction in Rocks Assigned Reading: {Marone, 1998 #3905; Chapter 8 in \Paterson, 2005 #5865} Resource reading: {Scholz, 1990 #4288; Ruina, 1985
More informationChapter 9- Static Equilibrium
Chapter 9- Static Equilibrium Changes in Office-hours The following changes will take place until the end of the semester Office-hours: - Monday, 12:00-13:00h - Wednesday, 14:00-15:00h - Friday, 13:00-14:00h
More informationWelcome back to Physics 211
Welcome back to Physics 211 Today s agenda: Weight Friction Tension 07-1 1 Current assignments Thursday prelecture assignment. HW#7 due this Friday at 5 pm. 07-1 2 Summary To solve problems in mechanics,
More informationAP Physics C Mechanics Objectives
AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph
More informationFriction Constitutive Laws and. The Mechanics of Slow Earthquakes and the Spectrum of Fault Slip Behaviors
Friction Constitutive Laws and. The Mechanics of Slow Earthquakes and the Spectrum of Fault Slip Behaviors Chris Marone, The Pennsylvania State University John Leeman, Marco Scuderi, Elisa Tinti, Cristiano
More informationCHAPTER 8 ENTROPY GENERATION AND TRANSPORT
CHAPTER 8 ENTROPY GENERATION AND TRANSPORT 8.1 CONVECTIVE FORM OF THE GIBBS EQUATION In this chapter we will address two questions. 1) How is Gibbs equation related to the energy conservation equation?
More informationSeismic and aseismic processes in elastodynamic simulations of spontaneous fault slip
Seismic and aseismic processes in elastodynamic simulations of spontaneous fault slip Most earthquake simulations study either one large seismic event with full inertial effects or long-term slip history
More informationEffects of horizontal vibration on hopper flows of granular materials
PHYSICS OF FLUIDS VOLUME 11, NUMBER 1 JANUARY 1999 Effects of horizontal vibration on hopper flows of granular materials M. L. Hunt, R. C. Weathers, A. T. Lee, and C. E. Brennen Division of Engineering
More informationStatistical Mechanics of Granular Systems
Author: Facultat de Física, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain. Advisor: Antoni Planes Vila Abstract: This work is a review that deals with the possibility of application
More informationExam 2 Solutions. PHY2048 Spring 2017
Exam Solutions. The figure shows an overhead view of three horizontal forces acting on a cargo canister that was initially stationary but that now moves across a frictionless floor. The force magnitudes
More informationHSC PHYSICS ONLINE B F BA. repulsion between two negatively charged objects. attraction between a negative charge and a positive charge
HSC PHYSICS ONLINE DYNAMICS TYPES O ORCES Electrostatic force (force mediated by a field - long range: action at a distance) the attractive or repulsion between two stationary charged objects. AB A B BA
More informationLast-night s Midterm Test. Last-night s Midterm Test. PHY131H1F - Class 10 Today, Chapter 6: Equilibrium Mass, Weight, Gravity
PHY131H1F - Class 10 Today, Chapter 6: Equilibrium Mass, Weight, Gravity Clicker Question 1 Which of the following objects described below is in dynamic equilibrium? A. A 100 kg barbell is held at rest
More informationCover Page. The handle holds various files of this Leiden University dissertation
Cover Page The handle http://hdl.handle.net/1887/29750 holds various files of this Leiden University dissertation Author: Wortel, Geert Title: Granular flows : fluidization and anisotropy Issue Date: 2015-11-19
More informationIsaac Newton. What is a force? Newton s Three Laws of Motion. What is the acceleration of the car?
Aim: What did Isaac Newton teach us about motion? Do Now: 1. A 2009 Ford Mustang convertible is travelling at constant velocity on Interstate 95 south from Philadelphia to Wilmington Delaware. It passes
More information3. What type of force is the woman applying to cart in the illustration below?
Name: Forces and Motion STUDY GUIDE Directions: Answer the following questions. 1. What is a force? a. A type of energy b. The rate at which an object performs work c. A push or a pull d. An object that
More informationPhysics 8, Fall 2011, equation sheet work in progress
1 year 3.16 10 7 s Physics 8, Fall 2011, equation sheet work in progress circumference of earth 40 10 6 m speed of light c = 2.9979 10 8 m/s mass of proton or neutron 1 amu ( atomic mass unit ) = 1 1.66
More informationPhysics 221. Exam III Spring f S While the cylinder is rolling up, the frictional force is and the cylinder is rotating
Physics 1. Exam III Spring 003 The situation below refers to the next three questions: A solid cylinder of radius R and mass M with initial velocity v 0 rolls without slipping up the inclined plane. N
More informationChapter 13: Oscillatory Motions
Chapter 13: Oscillatory Motions Simple harmonic motion Spring and Hooe s law When a mass hanging from a spring and in equilibrium, the Newton s nd law says: Fy ma Fs Fg 0 Fs Fg This means the force due
More informationLocal friction of rough contact interfaces with rubbers using contact imaging approaches mm
mm 2.5 2.0 1.5 - - -1.5-2.0-2.5 Local friction of rough contact interfaces with rubbers using contact imaging approaches mm -2.5-2.0-1.5 - - 1.5 2.0 2.5 0.30 0 0 0 MPa (c) D.T. Nguyen, M.C. Audry, M. Trejo,
More informationINTI INTERNATIONAL UNIVERSITY FOUNDATION IN SCIENCE (CFSI) PHY1203: GENERAL PHYSICS 1 FINAL EXAMINATION: SEPTEMBER 2012 SESSION
INTI INTERNATIONAL UNIVERSITY FOUNDATION IN SCIENCE (CFSI) PHY1203: GENERAL PHYSICS 1 FINAL EXAMINATION: SEPTEMBER 2012 SESSION PHY1203(F)/Page 1 of 5 Instructions: This paper consists of FIVE (5) questions.
More informationDynamics: Forces and Newton s Laws of Motion
Lecture 7 Chapter 5 Physics I Dynamics: Forces and Newton s Laws of Motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi Today we are going to discuss: Chapter 5: Force, Mass:
More informationEXPERIENCE COLLEGE BEFORE COLLEGE
Mechanics, Heat, and Sound (PHY302K) College Unit Week Dates Big Ideas Subject Learning Outcomes Assessments Apply algebra, vectors, and trigonometry in context. Employ units in problems. Course Mathematics
More informationPRACTICE QUESTION PAPER WITH SOLUTION CLASS XI PHYSICS
PRACTICE QUESTION PAPER WITH SOLUTION CLASS XI PHYSICS. A given quantity has both magnitude and direction. Is it necessarily a vector? Justify your answer.. What is the rotational analogue of the force?.
More informationDefining Temperatures of Granular Powders Analogously with Thermodynamics to Understand the Jamming Phenomena
Defining Temperatures of Granular Powders Analogously with Thermodynamics to Understand the Jamming Phenomena Tian Hao Nutrilite Health Institute 5600 Beach Boulevard, Buena Park, CA 90621, USA Abstract
More informationPHY131 Summer 2011 Class 5 Notes
PHY131 Summer 2011 Class 5 Notes 5/31/11 PHY131H1F Summer Class 5 Today: Equilibrium Mass, Weight, Gravity Friction, Drag Rolling without slipping Examples of Newton s Second Law Pre-class Reading Quiz.
More informationJMBC Workshop Statics and dynamics of soft and granular materials
JMBC Workshop Statics and dynamics of soft and granular materials Drienerburght, University of Twente, February 25 - March 1, 2013 Speakers: Dirk van der Ende - Nico Gray - Detlef Lohse - Stefan Luding
More informationAP Physics 1 Dynamics Free Response Problems ANS KEY
AP Physics 1 Dynamics ree Response Problems ANS KEY 1. A block of mass m, acted on by a force directed horizontally, slides up an inclined plane that makes an angle θ with the horizontal. The coefficient
More informationLectures. Today: Rolling and Angular Momentum in ch 12. Complete angular momentum (chapter 12) and begin equilibrium (chapter 13)
Lectures Today: Rolling and Angular Momentum in ch 1 Homework 6 due Next time: Complete angular momentum (chapter 1) and begin equilibrium (chapter 13) By Monday, will post at website Sample midterm II
More informationDynamics: Forces and Newton s Laws of Motion
Lecture 7 Chapter 5 Dynamics: Forces and Newton s Laws of Motion Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsi Today we are going to discuss: Chapter 5: Force, Mass: Section 5.1
More informationPhysics 180A Test Points
Physics 180A Test 3-10 Points Name You must complete six of the nine 10-point problems. You must completely cross off three 10-problems, thanks. Place your answers in the answer box. Watch your units and
More informationQ1. Which of the following is the correct combination of dimensions for energy?
Tuesday, June 15, 2010 Page: 1 Q1. Which of the following is the correct combination of dimensions for energy? A) ML 2 /T 2 B) LT 2 /M C) MLT D) M 2 L 3 T E) ML/T 2 Q2. Two cars are initially 150 kilometers
More informationThe Statistical Physics of Athermal Particles (The Edwards Ensemble at 25)
The Statistical Physics of Athermal Particles (The Edwards Ensemble at 25) Karen Daniels Dept. of Physics NC State University http://nile.physics.ncsu.edu 1 Sir Sam Edwards Why Consider Ensembles? for
More information3D MODELING OF EARTHQUAKE CYCLES OF THE XIANSHUIHE FAULT, SOUTHWESTERN CHINA
3D MODELING OF EARTHQUAKE CYCLES OF THE XIANSHUIHE FAULT, SOUTHWESTERN CHINA Li Xiaofan MEE09177 Supervisor: Bunichiro Shibazaki ABSTRACT We perform 3D modeling of earthquake generation of the Xianshuihe
More informationClass XI Physics Syllabus One Paper Three Hours Max Marks: 70
Class XI Physics Syllabus 2013 One Paper Three Hours Max Marks: 70 Class XI Weightage Unit I Physical World & Measurement 03 Unit II Kinematics 10 Unit III Laws of Motion 10 Unit IV Work, Energy & Power
More informationContents. I Introduction 1. Preface. xiii
Contents Preface xiii I Introduction 1 1 Continuous matter 3 1.1 Molecules................................ 4 1.2 The continuum approximation.................... 6 1.3 Newtonian mechanics.........................
More informationChapter 6 Applications of Newton s Laws. Copyright 2010 Pearson Education, Inc.
Chapter 6 Applications of Newton s Laws Units of Chapter 6 Frictional Forces Strings and Springs Translational Equilibrium Connected Objects Circular Motion 6-1 Frictional Forces Friction has its basis
More informationCh 6 Using Newton s Laws. Applications to mass, weight, friction, air resistance, and periodic motion
Ch 6 Using Newton s Laws Applications to mass, weight, friction, air resistance, and periodic motion Newton s 2 nd Law Applied Galileo hypothesized that all objects gain speed at the same rate (have the
More informationWiley Plus. Final Assignment (5) Is Due Today: Before 11 pm!
Wiley Plus Final Assignment (5) Is Due Today: Before 11 pm! Final Exam Review December 9, 009 3 What about vector subtraction? Suppose you are given the vector relation A B C RULE: The resultant vector
More informationCircular Motion. A car is traveling around a curve at a steady 45 mph. Is the car accelerating? A. Yes B. No
Circular Motion A car is traveling around a curve at a steady 45 mph. Is the car accelerating? A. Yes B. No Circular Motion A car is traveling around a curve at a steady 45 mph. Which vector shows the
More informationKnowledge of basic math concepts is expected (conversions, units, trigonometry, vectors, etc.)
Topics for the Final Exam Knowledge of basic math concepts is expected (conversions, units, trigonometry, vectors, etc.) Chapter 2. displacement, velocity, acceleration motion in one dimension with constant
More informationSIMULATION OF A 2D GRANULAR COLUMN COLLAPSE ON A RIGID BED
1 SIMULATION OF A 2D GRANULAR COLUMN COLLAPSE ON A RIGID BED WITH LATERAL FRICTIONAL EFFECTS High slope results and comparison with experimental data Nathan Martin1, Ioan Ionescu2, Anne Mangeney1,3 François
More informationPHY101: Major Concepts in Physics I
Welcome back to PHY101: Major Concepts in Physics I Photo: S. T. Cummins Photo: S. T. Cummins Announcements Today is our final class! We will first discuss more on Chapters 14-15 and then conduct a short
More informationUNM Department of Physics and Astronomy SLOs for all core lecture and lab courses as of Oct 7, 2015
UNM Department of Physics and Astronomy SLOs for all core lecture and lab courses as of Oct 7, 2015 Assessement plans for each course are at http://physics.unm.edu/pandaweb/undergraduate/core/ ASTR 101
More informationPHYSICS 025 FINAL EXAMINATION Friday, 2003 April 11
Print Name: Student No. A 1-10 A 11-20 A 21-30 B1 B2 B3 B4 C1 C2 C3 Total PHYSICS 025 FINAL EXAMINATION Friday, 2003 April 11 Time: 7:00 10:00 PM 1. This is a closed book test. You may use only a calculator,
More informationAP PHYSICS 1 Learning Objectives Arranged Topically
AP PHYSICS 1 Learning Objectives Arranged Topically with o Big Ideas o Enduring Understandings o Essential Knowledges o Learning Objectives o Science Practices o Correlation to Knight Textbook Chapters
More informationRock and fluid thermodynamics control the dynamics of induced earthquakes
Rock and fluid thermodynamics control the dynamics of induced earthquakes M. Acosta, F. Passelègue, A. Schubnel et M. Violay (mateo.acosta@epfl.ch) Context Induced Seismicity in Enhanced Geothermal Systems
More informationPhysics 106a, Caltech 4 December, Lecture 18: Examples on Rigid Body Dynamics. Rotating rectangle. Heavy symmetric top
Physics 106a, Caltech 4 December, 2018 Lecture 18: Examples on Rigid Body Dynamics I go through a number of examples illustrating the methods of solving rigid body dynamics. In most cases, the problem
More informationFORCE AND MOTION CHAPTER 3
FORCE AND MOTION CHAPTER 3 Review: Important Equations Chapter 2 Definitions Average speed: Acceleration: v = d t v = Δd a = Δv Δt = v v 0 t t 0 Δt = d d 0 t t 0 Derived Final velocity: Distance fallen:
More informationWhich iceboat crosses the finish line with more kinetic energy (KE)?
Two iceboats (one of mass m, one of mass 2m) hold a race on a frictionless, horizontal, frozen lake. Both iceboats start at rest, and the wind exerts the same constant force on both iceboats. Which iceboat
More informationPART I Qualifying Examination. August 22, 2017, 5:00 p.m. to 8:00 p.m.
UNIVERSITY OF MISSOURI-COLUMBIA PHYSICS DEPARTMENT PART I Qualifying Examination August 22, 2017, 5:00 p.m. to 8:00 p.m. Instructions: The only material you are allowed in the examination room is a writing
More informationLaboratory Testing Total & Effective Stress Analysis
SKAA 1713 SOIL MECHANICS Laboratory Testing Total & Effective Stress Analysis Prepared by: Dr. Hetty Mohr Coulomb failure criterion with Mohr circle of stress 2 ' 2 ' ' ' 3 ' 1 ' 3 ' 1 Cot Sin c ' ' 2
More informationChapter 9. ASTRONOMY 202 Spring 2007: Solar System Exploration. Class 26: Planetary Geology [3/23/07] Announcements.
ASTRONOMY 202 Spring 2007: Solar System Exploration Instructor: Dr. David Alexander Web-site: www.ruf.rice.edu/~dalex/astr202_s07 Class 26: Planetary Geology [3/23/07] Announcements Planetary Geology Planetary
More informationMechanics of Granular Matter
Mechanics of Granular Matter Mechanics of Granular Matter Qicheng Sun & Guangqian Wang Tsinghua University, Beijing, China Qicheng Sun & Guangqian Wang Tsinghua University, Beijing, China Published by
More informationD.A.V. PUBLIC SCHOOL, UPPAL S SOUTHEND, SECTOR 49, GURUGRAM CLASS XI (PHYSICS) Academic plan for
D.A.V. PUBLIC SCHOOL, UPPAL S SOUTHEND, SECTOR 49, GURUGRAM CLASS XI (PHYSICS) Academic plan for 2017-2018 UNIT NAME OF UNIT WEIGHTAGE 1. 2. 3. Physical World and Measurement Kinemetics Laws of Motion
More informationAnomalous Behavior of a Liquid-Particle System with Horizontal Vibration
Original Paper Forma, 17, 339 347, 2002 Anomalous Behavior of a Liquid-Particle System with Horizontal Vibration Yusaku NAGATA, Akihiro KAWAKITA and Ryuji TAKAKI* Tokyo University of Agriculture and Technology,
More informationFORCES AND THE LAWS OF MOTION
FORCES AND THE LAWS OF MOTION FORCE A force is the cause of an acceleration, or the change in an object s velocity (speed or direction). Forces are usually thought of as a push or a pull. The SI unit of
More informationLecture 2 - Thursday, May 11 th, 3pm-6pm
PHYSICS 8A Final Exam Spring 2017 - C. Bordel Lecture 2 - Thursday, May 11 th, 3pm-6pm Student name: Student ID #: Discussion section #: Name of your GSI: Day/time of your DS: Physics Instructions In the
More informationLecture 13 REVIEW. Physics 106 Spring What should we know? What should we know? Newton s Laws
Lecture 13 REVIEW Physics 106 Spring 2006 http://web.njit.edu/~sirenko/ What should we know? Vectors addition, subtraction, scalar and vector multiplication Trigonometric functions sinθ, cos θ, tan θ,
More informationJames T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Chapter 3 Force and Motion
James T. Shipman Jerry D. Wilson Charles A. Higgins, Jr. Chapter 3 Force and Motion Force and Motion Cause and Effect In chapter 2 we studied motion but not its cause. In this chapter we will look at both
More informationPhysics 2101 S c e t c i cti n o 3 n 3 March 31st Announcements: Quiz today about Ch. 14 Class Website:
Physics 2101 Section 3 March 31 st Announcements: Quiz today about Ch. 14 Class Website: http://www.phys.lsu.edu/classes/spring2010/phys2101 3/ http://www.phys.lsu.edu/~jzhang/teaching.html Simple Harmonic
More informationJordan University of Science & Technology PHYS 101A Final exam First semester 2007
Student Name Student ID Jordan University of Science & Technology PHYS 101A Final exam First semester 2007 Approximate your answer to those given for each question. Use this table to fill in your answer
More informationGranular materials (Assemblies of particles with dissipation )
Granular materials (Assemblies of particles with dissipation ) Saturn ring Sand mustard seed Ginkaku-ji temple Sheared granular materials packing fraction : Φ Inhomogeneous flow Gas (Φ = 012) Homogeneous
More information