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Physics 411: Analytical Mechanics Review of fundamental principles of Newtonian mechanics (vector algebra and vector calculus, and Newton's three laws of motion), and variational principles and mechanics (d'Alembert's principle and virtual work, Lagrange dynamics, Hamilton dynamics), conservation laws, linear and nonlinear oscillations, planetary motion, and systems of particles. Prereq: Math 282. |
Course: Physics 411: Analytical Mechanics |  |
The homework assignments will be posted on a Thursday. They will be due at the end of Friday of the following week. Hard copies of the homeworks may be turned in during class, anytime time before the due date, or directly to me again, any time before the due date. Electronic versions (preferrably in pdf) may be submitted through CANVAS.
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| Chapters 1 and 2: Vector algebra and calculus,
Newtonian mechanics--Newton's Laws of
Motion, inertia and inertial frames,
equations of motion, and motions of projectiles and charged particles | ||
| Chapters 2 and 3:
solution of single body motions for different kinds of forces;
and momentum and angular momentum, systems of particles, center-of-mass,
center-of-momentum, torques
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| Chapter 4: Energy;
work and kinetic energy and potential energy, conservative vs
nonconservative forces,
the energy equation, separable forces,
constraints; solution of single body problems for different kinds of
forces. | ||
| Chapter 5: Oscillations, Hooke's Law,
simple harmonic motions, motion about equilibrium, damped oscillators,
driven, damped oscillators. | ||
| Chapters 6 and 7: Variational principles and mechanics,
calculus of variations, Euler-Lagrange equations, d'Alembert's Principle,
virtual work, virtual displacements,
Lagrange dynamics, generalized coordinates and
displacements, constraints
(holonomic versus nonholonomic constraints),
the Lagrangian,
first integrals of the
Euler-Lagrange equations, ignorable or cyclic coordinates and
conserved quantities,
and Hamilton's Principle.
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| Chapters 6 and 7 (continued): Variational principles and mechanics,
calculus of variations, Euler-Lagrange equations, d'Alembert's Principle,
virtual work, virtual displacements,
Lagrange dynamics, generalized coordinates and
displacements, constraints
(holonomic versus nonholonomic constraints),
the Lagrangian,
first integrals of the
Euler-Lagrange equations, ignorable or cyclic coordinates and conserved quantities,
and Hamilton's Principle.
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Chapter 8: Gravitation and Central Forces. Newton's Law of Universal
Gravitation, fields of spherically symmetric objects, motion in
gravitational fields, Kepler's Laws of Planetary Motion, angular mmentum conservation and central force fields, orbital motion in central force fields, Kepler's Second Law of Planetary motions (Areal law), solution of the equation-of-motion for central force fields, solutions to the equation-of-motion for gravity (inverse square force laws).
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Chapter 9: Mechanics in Noninertial reference frames, frame
translations and rotations, inertial velocity, fictitious
forces--transverse acceleration, Coriolis acceleration, centrifugal
Earth, Plumb Bob, the Foucault pendulum, projectile motion, cyclonic motion.
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Chapter 10: Rotational Motion of Rigid Bodies.
The dynamics and moment-of-inertia of rigid bodies.
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Chapter 11: Coupled Oscillators and Normal Modes of motion
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Accessible Education
The University of Oregon is working to create inclusive learning environments. Please let me know within the first two weeks of the term if you need assistance to fully participate in the course. Participation includes access to lectures, web-based information, in-class activities, and exams. The Accessible Education Center (http://aec.uoregon.edu/) works with students to provide an instructor notification letter that outlines accommodations and adjustments to class design that will enable better access. You are encouraged to contact the Accessible Education Center in 360 Oregon Hall at 541-346-1155 or uoaec@uoregon.edu for assistance with access or disability-related questions or concerns.
Attendance and Makeups
Students who are directed or advised to quarantine by the university or other
public health authority or provider should be held harmless in attendance policies.
Instructors may ask students for verification of their quarantine status.
If a student's
frequent absences and lack of availability for make-ups are jeopardizing their
success in the course, instructors should communicate with those students as
early as possible and recommend students work with advisor to consider their
options.
Instructors shall provide make-ups or alternatives to exams. In cases where
students are missing only minor yet essential coursework at the end of the
term, a grade of "Incomplete" may be used for make-ups
that will take place
after grades are due
(see Incomplete Policy https://provost.uoregon.edu/grades-incompletes-policy).
Academic Misconduct
The University Student Conduct Code (available at conduct.uoregon.edu) defines academic misconduct. Students are prohibited from committing or attempting to commit any act that constitutes academic misconduct. By way of example, students should not give or receive (or attempt to give or receive) unauthorized help on assignments or examinations without express permission from the instructor. Students should properly acknowledge and document all sources of information (e.g. quotations, paraphrases, ideas) and use only the sources and resources authorized by the instructor. If there is any question about whether an act constitutes academic misconduct, it is the student's obligation to clarify the question with the instructor before committing or attempting to commit the act. Additional information about a common form of academic misconduct, plagiarism, is available at https://researchguides.uoregon.edu/citing-plagiarism.
UO COVID-19 Regulations & Prevention (see https: //coronavirus.uoregon.edu/regulations and https://coronavirus.uoregon.edu/prevention#if-sick-stay-home for more information)
COVID Containment Plan for Classes
As the University of Oregon returns to in-person instruction, the key to keeping our community healthy and safe involves prevention, containment, and support. Here is information critical to how the UO is responding to COVID-19.
Students identified as a close contacts of a positive case will be contacted by the Corona Corps Care Team (541-346-2292).
Good Classroom Citizenship
Complete the UO COVID-19 case and contact reporting form if you test positive or are a close contact of someone who tests positive.
Inclement Weather
It is generally expected that class will meet unless the University is officially closed for inclement weather. If it becomes necessary to cancel class while the University remains open, this will be announced on Canvas and by email. Updates on inclement weather and closure are also communicated in other ways described here: https://hr.uoregon.edu/about-hr/campus-notifications/inclement-weather/inclement-weather-immediate-updates
Academic Disruption due to Campus Emergency
In the event of a campus emergency that disrupts academic activities,
course requirements,
deadlines, and grading percentages are subject to change. Information about
changes in this course will be communicated as soon as possible by email,
and on Canvas. If we are not able to meet face-to-face, students should
immediately log onto Canvas and read any announcements and/or access
alternative assignments. Students are also encouraged to continue the readings
and other assignments as outlined in this syllabus or subsequent syllabi.
In the event that the instructor of this course has to quarantine, this
course may be taught online during that time.
Reporting Obligations
I am a [designated reporter/student-directed employee]. For information about my reporting obligations as an employee, please see Employee Reporting Obligations on the Office of Investigations and Civil Rights Compliance (OICRC) website. Students experiencing any form of prohibited discrimination or harassment, including sex or gender-based violence, may seek information and resources at safe.uoregon.edu, respect.uoregon.edu, or investigations.uoregon.edu or contact the non-confidential Title IX office/Office of Civil Rights Compliance (541-346-3123), or Dean of Students offices (541-346-3216), or call the 24-7 hotline 541-346-SAFE for help. I am also a mandatory reporter of child abuse. Please find more information at Mandatory Reporting of Child Abuse and Neglect.
Mental Health and Wellness
Life at college can be very complicated. Students often feel overwhelmed or stressed, experience anxiety or depression, struggle with relationships, or just need help navigating challenges in their life. If you're facing such challenges, you don't need to handle them on your own--there's help and support on campus.
University Health Services help students cope with difficult emotions and life stressors. If you need general resources on coping with stress or want to talk with another student who has been in the same place as you, visit the Duck Nest (located in the EMU on the ground floor) and get help from one of the specially trained Peer Wellness Advocates. Find out more at health.uoregon.edu/ducknest.
University Counseling Services (UCS) has a team of dedicated staff members to support you with your concerns, many of whom can provide identity-based support. All clinical services are free and confidential. Find out more at counseling.uoregon.edu or by calling 541-346-3227 (anytime UCS is closed, the After-Hours Support and Crisis Line is available by calling this same number.
Basic Needs
Any student who has difficulty affording groceries or accessing sufficient food to eat every day, or who lacks a safe and stable place to live and believes this may affect their performance in the course is urged to contact the Dean of Students Office (346-3216, 164 Oregon Hall) for support.
This UO webpage includes resources for food, housing, healthcare, childcare, transportation, technology, finances, and legal support: https://blogs.uoregon.edu/basicneeds/food/
Accommodation for Religious Observances
The University makes reasonable accommodations, upon request, for students who are unable to attend a class for religious obligations or observance reasons, in accordance with the university discrimination policy which says, "any student who because of religious beliefs, is unable to attend classes on a particular day shall be excused from attendance requirements and from any examination or other assignment on that day. The student shall make up the examination or other assignment missed because of the absence." To request accommodations for this course for religious observance, visit the Office of the Registrar's website (https://registrar.uoregon.edu/calendars/religious-observances) and complete and submit to the instructor the Religious Accommodation Request form prior to the end of the second week of the term.