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- Title: PHYS141_f08_lecture_29
- Type: Notes
- School: Maryland
- Course: PHYS 141
- Term: Summer
Coursehero >> Maryland >> Maryland >> PHYS 141
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 141 Summer, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 121 Spring, 2007
Path: Maryland >> PHYS >> 273 Fall, 2008
Path: Maryland >> PHYS >> 273 Fall, 2008
Path: Maryland >> PHYS >> 273 Fall, 2008
Path: Maryland >> PHYS >> 273 Fall, 2008
Path: Maryland >> PHYS >> 09 Fall, 2004
Path: Maryland >> PHYS >> 375 Fall, 1999
Path: Maryland >> PHYS >> 09 Fall, 2004
Path: Maryland >> PHYS >> 09 Fall, 2004
Path: Maryland >> PHYS >> 375 Fall, 1999
Path: Maryland >> PHYS >> 08 Fall, 2004
Path: Maryland >> PHYS >> 402 Spring, 2002
Path: Maryland >> PHYS >> 08 Fall, 2004
Path: Maryland >> PHYS >> 402 Spring, 2002
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
Path: Maryland >> PHYS >> 401 Fall, 2008
Path: Maryland >> PHYS >> 05 Fall, 2008
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Principles PHYS141 of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the "GO" button. 2. While the light is flashing red and green, enter the 2 digit channel code (i.e. channel 1 = 01, channel 21 = 21). Channel is 11 3. After the second digit is entered, Press and release the "GO" button. 4. Press and release the "1/A" button. The light should flash yellow to confirm. 1 Chapter 12 Static Equilibrium and Elasticity Previously: For an object to be in equilibrium we must require that the sum of all forces is zero. Now: We are taking into account that objects are generally not point-like If an object is not rotating, then we must also require that the sum of all torques is zero. Chapter 12 Static Equilibrium and Elasticity F r O rrr F, = r F F = 0 v = 0 v 2 Chapter 12 Static Equilibrium and Elasticity If I choose a different axis the torque arising from the force F will be different F r O To be in static equilibrium, the net force must be zero and the net torque most be zero when evaluated about any axis. rrr F, = r F F = 0 v = 0 v Chapter 12 Static Equilibrium and Elasticity F r r O F If the net force is zero and the net torque is zero about any axis, it is zero about all possible axes. rrr F, = r F 3 Chapter 12 Static Equilibrium and Elasticity The center of gravity of an object is the same as the center of mass (in a uniform gravitation field). mg mg mg mg gravity Therefore doesn t tend to rotate an object about its center of mass. It can rotate an object about an arbitrarily defined axis of rotation. rrr F, = r F Chapter 12 Problem A ladder of length L, mass M leans on a wall making an angle theta with the floor. Coefficient of friction between the ladder and the ground is 0.40 Find the minimum angle at which the ladder does not slip. 4 If I stand at the middle of the ladder, will it be 1. More stable (less likely to slide) 2. Equally stable 3. Less stable (more likely to slide) Just as if the ladder were heavier, and mass cancels out. ... le st ab el lly s (m or e ss st ab le (le s ua lik el lik ... 58% 25% 16% M or e st ab Eq Le If I stand at the top of the ladder, will it be 1. More stable (less likely to slide) 2. Equally stable 3. Less stable (more likely to slide) Mass at the top of the ladder provides more torque, which tends to make it rotate out. (le s le st ab le 75% 16% 9% ... le st ab el lly s Eq or e M Le ss st ab le (m or e ua lik el lik ... 5 If I stand at the bottom of the ladder, will it be 1. More stable (less likely to slide) 2. Equally stable 3. Less stable (more likely to slide) Mass at the bottom of the ladder increases the friction force without increasing torque, less likely to slip. s (le s le st ab 87% 4% ... le st ab el 9% ... lly Eq or e M Chapter 12 Problem You stand on a horizontal beam supported by a wire. M = 20kg m = 60kg L=8m x = 2m = 53 x m M, L Le ss st ab le (m or e ua lik el lik 6
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PHYS141_f08_lecture_30.pdf
Path: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_31.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_29_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_lecture_30_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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PHYS141_f08_lecture_31_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_lecture_32.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Chapter 13 Universal Law of Gravitation Demonstration: The bowl is shaped so that the height as a function of r reflects the form of the ...
PHYS141_f08_lecture_33.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_32_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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PHYS141_f08_lecture_33_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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PHYS141_f08_HW11.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_lecture_34.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_35.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_34_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_lecture_35_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: I - a=- .4/~ ~ L~_:-._I., F_=_-_kl_~_L_ 4;_ _-I-_ _ J_.,l(_~_ _ ~_~_\"_\'_\'=\"=1(~.I_fJ_~_-r _ - p.:- \"\'t - -ri-.- -k~:. 1Mi\' . . . -kf.~ \" -~-:--lol-d-.jPV\\-V\"t-:t:-\"-fS-.~-=-~=,-,.(]J.-:,.-\'r\'N-/O-~-> e,~ of v.o...
PHYS141_f08_lecture_36.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Mass on a spring, pendulum, object in a potential well I...
PHYS141_f08_lecture_37.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_38.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Quiz If I double the mass of a pendulum bob, will the frequency increase, remain the same or decrease? Will remain the same, because as mas...
PHYS141_f08_lecture_36_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_lecture_37_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: - _ _ _ _ _ _-+-F-I-~=+_-\"\'It.A,r\'. , k=(!)-=W~-~ftt . ,~ II. I I L_ . . - \'\":L ~L ~.JI\\J\" ~ v.l;~\"l~\" )l ush-c1 ~ t.c, v< ~f~.J.(i.t\" ]I -f\' . S Ie. I 7;l ~ ~ \"\' l ;: l- t- \'1c Lc~t -=> ,. .0401+\'\" ~t- . 2lFo= , \'1. \'T -. ...
PHYS141_f08_lecture_38_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
PHYS141_f08_HW12.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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PHYS141_f08_lecture_39.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_40.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Channel Setting Instructions for ResponseCard RF 1. Press and release the \"GO\" button. 2. While the light is flashing red and green, enter ...
PHYS141_f08_lecture_41.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: PHYS141 Principles of Physics I Prof. Arthur La Porta alaporta@umd.edu Rm 1111, IPST building (building #085) Administrative Items Exam on Wednesday at 8 am. 2 Hours, 6 problems, one group of short-answer questions (like quick quiz in the book) A...
PHYS141_f08_lecture_39_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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PHYS141_f08_lecture_40_supp.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
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ManualIntro.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
ManualExpI.pdfPath: Maryland >> PHYS >> 141 Summer, 2007
Description: ...
F08_TutHW11.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof12/0112/05 TutorialHW11: Pressureinidealgases Name: Section: I. A container with a valve at the bottom is filled with an ideal gas. The valve is now opened and some of the gas slowly escapes. The valve is then closed, after which the pi...
Makeup_lab.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Duetheweekof12/0812/13 Name MakeupActivity Phys121Fall2008 Section This make-up activity would only be graded if: 1. you had a valid reason (religious, medical, etc.) for missing the lab, and 2. you have submitted letter of absence and supporting ...
TutGuide_Fall2008.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Phys 121- Tutorials FALL 2008 Physics 121 Tutorials Instructor:AyushGupta Email:ayush@umd.eduPh:3014056184 The whole of science is nothing more than a refinement of everyday thinking. - Einstein, 1936. Many students think learning physics mean...
LabGuide_Fall2008.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Physics 121 Laboratory Fall 2008 Everything youve ever wanted to know about the Scientific Community Lab but were afraid to ask Instructor: Ayush Gupta Email: ayush@umd.edu Ph: 301-405-6184 These labs are different from what you might be used to. ...
F08_TutHW1.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Tutorial 1 Homework Name The meaning of speed I. Graphs and paper segments Tutorial section Below are life-size images of three segments of paper ribbon like those you used in tutorial. (Segments like these are generated by attaching a paper ribb...
Lab1.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Lab 1: What is measurement? One of the key parts of an experiment is measurement. We say that science experiments are reliable. Yet, each time we repeat an experiment it yields slightly different results (the difference can be very, very small at tim...
F08_TutHW2.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Tutorial 2 Homework Due in tutorial, week of 09/22-09/26 Name Interpreting graphs and equations I. Graphs A. On the velocity vs. time graph at right: 1. What do the three different lines represent? Tutorial section 2. What is the interpretation ...
F08_TutHW3.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof09/2910/03 I. Interpretations TutorialHW3: Reconcilingcommonsenseand Newtonslaws Name: Section: A. On the force vs. acceleration graph at right: 1. What do the three different lines represent? 2. How is the slope of a line related to th...
PreLab_ClockII.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: I. Pre-lab question - PLEASE ANSWER THE PRE-LAB QUESTION AND BRING IT TO LAB3: GRANDFATHER CLOCK-II [Week of 09/29-10/03] Elizabeth and Lydia have just finished the pendulum lab, where they measured the period of a pendulum with different masses. The...
F08_TutHW4.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof10/0610/10 I. Newtons 3rd law and gravity TutorialHW4: NewtonsThirdLaw Name: Section: A thoughtful student puts forth the following argument about when Newtons 3rd law applies. I understand why Newtons 3rd law applies to contact forces, ...
F08_TutHW5.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof10/1310/17 I. Interpreting force graphs TutorialHW5: Forces Name: Section: A. A box sliding on a rough surface feels both a normal force and a frictional force from that surface. Consider the graph at right of the magnitude of the fricti...
F08_TutHW6.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof10/2010/27 I. SUV vs. car TutorialHW6: Momentum Name: Section: On a test track, a sports utility vehicle (SUV) of mass 2000 kg, traveling at 12 m/s, hits a stationary car of mass 1000 kg. The car crumples and stays in contact with the SU...
F08_TutHW7.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof10/2710/31 I. Rocket TutorialHW7: WorkandEnergy Name: Section: A rocket of mass 6.0 kg takes off from the ground and goes straight up. During the first 100 meters of its ascent, the engine exerts a 80 newton upward force on the rocket. A...
F08_TutHW8.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof11/0311/07 I. Screwdriver TutorialHW8: Torque Name: Section: You need to loosen a really stuck screw. You have a choice between two screwdrivers, both of which you can grip very well. The only difference is that one of them, the bottom o...
F08_TutHW9.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof11/1011/14 I. Operational definitions TutorialHW9: PropertiesofMatter Name: Section: Two identical empty plastic bottles were outside on a hot afternoon. They were initially uncapped. At about three oclock, a physicist tightly capped one...
F08_TutHW10.pdfPath: Maryland >> PHYS >> 121 Spring, 2007
Description: Dueweekof11/1711/21 I. Wendy and Doug R TutorialHW10: Pressureinaliquid Name: Section: r A B C A B C Consider the regular and the wider containers from the tutorial. Recall Wendys and Dougs argument about how for the water would squirt out f...
273Syl04.pdfPath: Maryland >> PHYS >> 273 Fall, 2008
Description: Department of Physics University of Maryland Physics 273 Syllabus Fall 2004 Course Title: Introductory Physics: Waves Prerequisite: PHYS 272 & MATH 241 Corequisite: PHYS 246 or MATH 414 Course Description: Oscillations and AC circuits using complex v...
PHYS273Hhw1.pdfPath: Maryland >> PHYS >> 273 Fall, 2008
Description: Department of Physics University of Maryland Fall 2004 Physics 273 Homework Assignment # 1 Due: Sept. 7, 2004 Instructor: Sylvester James Gates, Jr., Room 4121 (Physics Building), Telephone: 301-405-6025, Electronic mail: GATESS@WAM.UMD.EDU Webpage:...
PHYS273HW2.pdfPath: Maryland >> PHYS >> 273 Fall, 2008
Description: Department of Physics University of Maryland Fall 2004 Physics 273 Homework Assignment # 2 Due: Sept. 13, 2004 READING ASSIGNMENT: Read Chapters 1-2 in textbook 1) 273 Problems, (20 points each), Problems: 2.3, 2.4, 4.3, 4.6, 4.9 2) 273H Problems, (...
SolHW1.pdfPath: Maryland >> PHYS >> 273 Fall, 2008
Description: Department of Physics University of Maryland Physics 273 Fall 2003 Homework Assignment # 1 Due Sep. 8 1.1, 1.2, 1.3(1.6), 2.1, 2.2 Problem Solutions 1.1 In Fig 1.1 (a), the restoring force in the pendulum is x F = m = mg sin() mg L x = x m + mg L ...
labnotebooks.pdfPath: Maryland >> PHYS >> 09 Fall, 2004
Description: Lab Notebooks for PHYS 375 R. Gammon 2/16/06 1. Front of notebook - name - course section 2. Inside front cover - table of contents with page numbers 3. For each experiment - title on beginning of your dated notes about it. - dated records of work - ...
labnotebooks.pdfPath: Maryland >> PHYS >> 375 Fall, 1999
Description: Lab Notebooks for PHYS 375 R. Gammon 2/16/06 1. Front of notebook - name - course section 2. Inside front cover - table of contents with page numbers 3. For each experiment - title on beginning of your dated notes about it. - dated records of work - ...
error_analysis.pdfPath: Maryland >> PHYS >> 09 Fall, 2004
Description: A ` VDS i BF@BT~@B9 BeS d F7 P Y 9P Q gU9 g A9Y g A A9 S ( u qu du u l q d l u qvvvpXBHoVsBxvc!vvBjqBBgyw f\'BvXxvyn2heBzxhoBjlssH!BB28vsXsxcsqresBvx2jv i uu w s f w s u m u w su s s du i | i f m u w f m w k ...
LP3QuickRefManual.pdfPath: Maryland >> PHYS >> 09 Fall, 2004
Description: Quick RefeRence Manual GettinG staRted logger Pro Requirements To use Logger Pro, you must have the following equipment: Windows 98 SE, Me, 2000, or XP with Pentium processor, 200MHz or better, 32 MB available RAM, 60 MB of hard disk space for a mi...
LP3QuickRefManual.pdfPath: Maryland >> PHYS >> 375 Fall, 1999
Description: Quick RefeRence Manual GettinG staRted logger Pro Requirements To use Logger Pro, you must have the following equipment: Windows 98 SE, Me, 2000, or XP with Pentium processor, 200MHz or better, 32 MB available RAM, 60 MB of hard disk space for a mi...
402Final.pdfPath: Maryland >> PHYS >> 08 Fall, 2004
Description: ...
402Final.pdfPath: Maryland >> PHYS >> 402 Spring, 2002
Description: ...
401-08fins.pdfPath: Maryland >> PHYS >> 08 Fall, 2004
Description: ...
401-08fins.pdfPath: Maryland >> PHYS >> 402 Spring, 2002
Description: ...
401_f05_ex1.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Take Home Exam Due At 10:00 AM, Monday October 24, 2005 This exam is open notes and open book. You may also use Mathematica or other symbolic manipulation programs. If you use Mathematica or a similar program you must include the output t...
401_f05_ex1.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Take Home Exam Due At 10:00 AM, Monday October 24, 2005 This exam is open notes and open book. You may also use Mathematica or other symbolic manipulation programs. If you use Mathematica or a similar program you must include the output t...
401f05hw4.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Homework 4-Due September 30 1. In class we asserted that in quantum mechanics physical properties with Hermitian operators. These were defined an operator A as Hermitian operator if dx * ( A ) is real for all square integrable wave f...
401f05hw4.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Homework 4-Due September 30 1. In class we asserted that in quantum mechanics physical properties with Hermitian operators. These were defined an operator A as Hermitian operator if dx * ( A ) is real for all square integrable wave f...
401f05hw6.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Homework 4-Due October 14 This homework assignments concerns the quantum mechanic harmonic oscillator. The wave functions n refers to the nth eigenfunction of this system. 1. Use ladder operators to show that: a. b. c. d. e. f. n +1 x...
401f05hw6.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Homework 4-Due October 14 This homework assignments concerns the quantum mechanic harmonic oscillator. The wave functions n refers to the nth eigenfunction of this system. 1. Use ladder operators to show that: a. b. c. d. e. f. n +1 x...
401f05hw8.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Homework 8-Due November 4 1. For the finite square well bound state problem, the particle has a certain probability of being found in the classically forbidden region (i.e. outside the well). a. Show that ratio of the probability that it...
401f05hw8.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Homework 8-Due November 4 1. For the finite square well bound state problem, the particle has a certain probability of being found in the classically forbidden region (i.e. outside the well). a. Show that ratio of the probability that it...
401f05hw9.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Homework 9-Due November 11 The first three problems are based on the time-independent Schrdinger equation for an attractive potential in terms of dimensionless variables: 2 + 2 f ( ) ( ) = ( ) where 2 V ( x) = V0 f ( xx0 ) ,...
401f05hw9.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Homework 9-Due November 11 The first three problems are based on the time-independent Schrdinger equation for an attractive potential in terms of dimensionless variables: 2 + 2 f ( ) ( ) = ( ) where 2 V ( x) = V0 f ( xx0 ) ,...
401f05hw10.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401 Homework 9-Due November 18 1. Prove the following: a. If T = then T = b. c. d. Any Hermitian operator T can be decomposed as T = S + i A where S is a symmetric operator whos matrix elements satisfy S i j = S j i and A is an ...
401f05hw10.pdfPath: Maryland >> PHYS >> 401 Fall, 2008
Description: Physics 401 Homework 9-Due November 18 1. Prove the following: a. If T = then T = b. c. d. Any Hermitian operator T can be decomposed as T = S + i A where S is a symmetric operator whos matrix elements satisfy S i j = S j i and A is an ...
401f05hw11.pdfPath: Maryland >> PHYS >> 05 Fall, 2008
Description: Physics 401-Due November 28 1. Suppose we have two physical observables S and T which in quantum mechanics are associated with Hermitian operators S and T . These operators do not necessarily commute. Further, suppose that the system is in an eign...