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Problem Set 5 (Due Oct. 27)

modified 18Oct2017 at 5:13PM by Robert Lysak 

Chapter 8, Problems 20, 33; Chapter 9, Problem 22. Note for problem 8.33, "Investigate the small oscillations..." means find the eigenfrequencies and the relative amplitudes of each body in each mode. For this part, you can assume m_{1} = m_{2} = m and 3g / r_{0} < < 2k / m . 
Problem Set 4 (Due October 20)

modified 20Oct2017 at 2:01PM by Robert Lysak  

Do problems 6.4, 6.12 and the problem in the attached file.

Final Exam

posted 12Oct2017 at 11:33AM by Robert Lysak 

The final exam for Phys 5011 will be on December 15, 8:3011:30 am. 
Quiz 1

modified 8Oct2017 at 3:43PM by Robert Lysak  

Quiz 1 will be on Friday, Oct. 6 in class at 10:10 am in B65. The exam will cover Chapters 15 of Goldstein. The exam is closed book, and I will provide a sheet giving important formulas. This sheet will be posted in advance early next week. The following problems from Chapters 4 and 5 will not be graded, but you will be responsible for this material on the quiz: Chapter 4, Problem 21; Chapter 5, Problems 6, 15, 21.

TA office hours

posted 26Sep2017 at 5:20PM by Robert Lysak 

In my absence, Ragnar Stefansson will have office hours 3:305:00 Wednesday in PAN 434. 
Lysak out of town

posted 21Sep2017 at 10:58AM by Robert Lysak 

I will be out of town the week of September 25 to attend a conference. During that time we will have guest lecturers: Sept. 25: Rafael Fernandes 
Problem Set 3 (Due Sept. 29)

modified 29Sep2017 at 1:59PM by Robert Lysak  

1. NASA’s Polar satellite is in an orbit around Earth with an apogee of 9.0 RE and a perigee of 1.8 RE, measured from the center of the Earth (1 RE = 1 Earth radius = 6380 km). Determine its semimajor axis, eccentricity and orbital period. Find the energy and angular momentum per unit mass for the satellite. What are its maximum and minimum orbital velocities? 2. Do Problem 3.15 3. Do Problem 3.21

Problem Set 2 (Due Sept. 22)

modified 22Sep2017 at 1:59PM by Robert Lysak  


Problem Set 1 (Due Sept. 15)

modified 18Sep2017 at 1:54PM by Robert Lysak  

Goldstein Chapter 1, Problems 5, 21, and the following problem: PS1 Problem 3: Consider the double pendulum of Figure 1.4, with each body of mass m and each rod having length L. This system is placed in an external, constant gravitational force. Write down the kinetic and potential energy of the system in terms of the angles and their derivatives and determine the Lagrangian. Find the Lagrangian equations of motion for this system.

Notes

modified 19Sep2017 at 2:12PM by Robert Lysak  

In this section, I will post expansions on the notes at various times.

Lectures

modified 20Oct2017 at 2:00PM by Robert Lysak 

Sections refer to Goldstein 9/12: Hamilton’s principle; calculus of variations 2.13 9/19: Closed orbits; Kepler problem; Virial Theorm 3.4, 67 9/25: Orthogonal Transformations; Euler angles 4.36 10/2: Lagrangian formulation of Rigid Body Motion 5.7 10/9: Systems of oscillators 6.12 10/16: Conservation Laws; Poisson Brackets; Phase Space 8.2, 9.5 10/23: Angular momentum; HamiltonJacobi theory 9.7, 10.13 