Day 36 - Lagrangian Examples II

Announcements

  • Last "Class" Week
  • Homework 8 due Friday, April 18
  • Next Week: Project Work and Discussion
  • Final Project Due April 28th (no later than 11:59 pm)
  • No Final Exam

Seminars This Week

WEDNESDAY, April 16, 2025

  • Astronomy Seminar, 1:30 pm, 1400 BPS, Undergraduate Thesis Talks will be given the next two weeks
  • PER Seminar, 3:00 pm., BPS 1400, Speaker: Rebeckah Fussell, Cornell University, Title: Comparing approaches to using large language models in science education research
  • FRIB Nuclear Science Seminar, 3:30pm., FRIB 1300 Auditorium, Speaker: Professor Alex Brown (FRIB), Title: Nuclear Science Advances at the MSU Cyclotron, NSCL, FRIB, ...

Seminars This Week

THURSDAY, April 17, 2025

  • Colloquium, 3:30 pm, 1415 BPS, Speaker: Jessie Christiansen, Caltech/IPAC, Title: From Kepler to the Habitable Worlds Observatory: The Emerging Picture of Planet Populations
  • Astronomical Horizons Public Lecture Series, 7:30 pm, Skye Theater, Abrams Planetarium, Speaker: Marcel Yanez Reyes, Title: From Event Horizons to Particle Collisions: The Geometry of the Extreme.

Stand Up for Higher Education

  • Graduate Employee Union
  • Union of Nontenure Track Faculty
  • Union of Tenure System Faculty

Thursday, April 17th at 3pm

Please make time to show up!

www.dayofactionforhighered.org

Reminders

We found the Lagrangian for the Atwood's machine with a rotating pulley to be:

where is the mass of the left block, is the mass of the right block, is the mass of the pulley, is the radius of the pulley, and is the angle of rotation of the pulley.

We used the scleronomic constraint to do this.

Clicker Question 36-1

We derived the Lagrangian for the Atwood's machine with a rotating pulley to be:

What is generalized force, ?

  5. Something else

Clicker Question 36-2

We derived the Lagrangian for the Atwood's machine with a rotating pulley to be:

What is the generalized momentum, ?

  5. Something else

Clicker Question 36-3

For the constraint for the bead in a parabolic bowl (), what are the units of ?

  5. Something else

Clicker Question 36-4

For the bead in a parabolic bowl, there is a generic Lagrangian:

How many coordinates are there, truly? here, each variable is a coordinate

A. 2
B. 3
C. 4
D. 5
E. None of these

Which coordinates are independent?

Clicker Question 36-5

The Lagrangian for the bead in a parabola does not depend on which of the following?

  4. More than one of these
  5. None of these