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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 Quiz Quiz question:...
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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 Quiz Quiz question: What is your favorite color? 1. Red 2. Green 3. Blue 4. Cyan 5. Magenta 6. Yellow 2 Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Mass on a spring, pendulum, object in a potential well If a spring is compressed it generated a force that tends to restore it to its original position. F F = kx 1 P.E. = kx 2 2 Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Mass on a spring, pendulum, object in a potential well Same applies to stretching of a spring F F = kx 1 P.E. = kx 2 2 3 Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Mass on a spring, pendulum, object in a potential well F Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force We will find a mathematical description of oscillatory motion = F ma F = kx dv d 2 x a= = dt dt 2 4 Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Trajectory of a harmonic oscillator A 1.0 0.5 Z 0.0 B -0.5 -1.0 0 5 C 10 15 20 phase Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force Mass on a spring, pendulum, object in a potential well F = kx 1 P.E. = kx 2 2 1 K .E. = mv 2 2 x = A cos(kx t ) dx v= = A sin(kx t ) dt d 2x a = 2 A 2 cos(kx t ) dt F 5 Mechanical energy of harmonic oscillator is maximum at point 1. 2. 3. 4. A B C Does not vary with time 1.0 A 0.5 Z 0.0 B -0.5 -1.0 0 5 C 10 15 20 phase Chapter 15 Simple Harmonic Motion Motion of objects which have a restoring force The ideal pendulum, the physical pendulum L T mgsin mgcos mg 6 Chapter 15 Compound pendulum What if a second pendulum is hung from the bob of the first pendulum. 1 2 In the double pendulum 1. Mechanical energy of each pendulum is conserved 2. Combined mechanical energy of two pendulums is conserved. 3. Mechanical energy is not conserved 7 Chapter 15 Problem A 0.5 kg cart connected to a spring with force constant 20 N/m oscillates on a horizontal frictionless surface. What is the total energy of the system and maximum speed if amplitude of motion is 3cm. What is speed when displacement is 2cm? 8
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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...
Maryland >> PHYS >> 141 (Summer, 2007)
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 ...
Maryland >> PHYS >> 141 (Summer, 2007)
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...
Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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 ...
Maryland >> PHYS >> 141 (Summer, 2007)
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 ...
Maryland >> PHYS >> 141 (Summer, 2007)
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...
Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 141 (Summer, 2007)
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Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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 ...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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. ...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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 ...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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, ...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 121 (Spring, 2007)
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...
Maryland >> PHYS >> 273 (Fall, 2008)
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...
Maryland >> PHYS >> 273 (Fall, 2008)
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:...
Maryland >> PHYS >> 273 (Fall, 2008)
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, (...
Maryland >> PHYS >> 273 (Fall, 2008)
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 ...
Maryland >> PHYS >> 09 (Fall, 2004)
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 - ...
Maryland >> PHYS >> 375 (Fall, 1999)
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 - ...
Maryland >> PHYS >> 09 (Fall, 2004)
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 ...
Maryland >> PHYS >> 09 (Fall, 2004)
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...
Maryland >> PHYS >> 375 (Fall, 1999)
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...
Maryland >> PHYS >> 08 (Fall, 2004)
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Maryland >> PHYS >> 402 (Spring, 2002)
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Maryland >> PHYS >> 08 (Fall, 2004)
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Maryland >> PHYS >> 402 (Spring, 2002)
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Maryland >> PHYS >> 05 (Fall, 2008)
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...
Maryland >> PHYS >> 401 (Fall, 2008)
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...
Maryland >> PHYS >> 05 (Fall, 2008)
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...
Maryland >> PHYS >> 401 (Fall, 2008)
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...
Maryland >> PHYS >> 05 (Fall, 2008)
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...
Maryland >> PHYS >> 401 (Fall, 2008)
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...
Maryland >> PHYS >> 05 (Fall, 2008)
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...
Maryland >> PHYS >> 401 (Fall, 2008)
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...
Maryland >> PHYS >> 05 (Fall, 2008)
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 ) ,...
Maryland >> PHYS >> 401 (Fall, 2008)
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 ) ,...
Maryland >> PHYS >> 05 (Fall, 2008)
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 ...
Maryland >> PHYS >> 401 (Fall, 2008)
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 ...
Maryland >> PHYS >> 05 (Fall, 2008)
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...
Maryland >> PHYS >> 401 (Fall, 2008)
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...
Maryland >> PHYS >> 05 (Fall, 2008)
Due December 2 1. This problem concnerns the momentum representation. a. Show that x p = i d p dp Hint:Look at the ovelap between two momentum operators, insert the identity operator in an appropriate place and use the following facts: 1 = dx x ...
Maryland >> PHYS >> 401 (Fall, 2008)
Due December 2 1. This problem concnerns the momentum representation. a. Show that x p = i d p dp Hint:Look at the ovelap between two momentum operators, insert the identity operator in an appropriate place and use the following facts: 1 = dx x ...
Maryland >> PHYS >> 08 (Fall, 2004)
Complex numbers(for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Basic complex algebra. Just the absolute minimal the students of PHY401 should know before the class starts. I. INTRODUCTION There a...
Maryland >> PHYS >> 401 (Fall, 2008)
Complex numbers(for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Basic complex algebra. Just the absolute minimal the students of PHY401 should know before the class starts. I. INTRODUCTION There a...
Maryland >> PHYS >> 08 (Fall, 2004)
Complex numbers(for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Basic complex algebra. Just the absolute minimal the students of PHY401 should know before the class starts. I. INTRODUCTION There a...
Maryland >> PHYS >> 401 (Fall, 2008)
Complex numbers(for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Basic complex algebra. Just the absolute minimal the students of PHY401 should know before the class starts. I. INTRODUCTION There a...
Maryland >> PHYS >> 08 (Fall, 2004)
Basic dierential equations (for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Not a substitute for a dierential equations class, obviously. Just the absolute minimal the students of PHY401 should know ...
Maryland >> PHYS >> 401 (Fall, 2008)
Basic dierential equations (for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Not a substitute for a dierential equations class, obviously. Just the absolute minimal the students of PHY401 should know ...
Maryland >> PHYS >> 08 (Fall, 2004)
Basic dierential equations (for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Not a substitute for a dierential equations class, obviously. Just the absolute minimal the students of PHY401 should know ...
Maryland >> PHYS >> 401 (Fall, 2008)
Basic dierential equations (for before the beginning of class ) Paulo F. Bedaque University of Maryland, College Park, MD, USA Not a substitute for a dierential equations class, obviously. Just the absolute minimal the students of PHY401 should know ...
Maryland >> PHYS >> 08 (Fall, 2004)
QUANTUM PHYSICS I PROBLEM SET 1 due September 17, before class A. Exercise your math muscles 1) compute ii 2) compute ei/2 3) nd the general solution to d2 (x) = E(x), 2m dx2 2 (1) for E > 0. 4) what is the solution to the problem above satisf...
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