{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

PHYS350 - Summary

Axis is semi minor axis is also called the impact

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: cular distance from a focus to the asymptote Note that and hence the lack of absolute values on compared to elliptical case Kinetic Energy: Relationship between impact parameter, initial velocity, and angle between asymptotes (scattering angle): Potential energy: Chapter 8: Many Body Systems: Equation of motion: Total energy: Internal conservative forces: Euler angles Three rotations are sufficient to rotate a body to its principal orientation 0. Start with 1. Rotate by angle about axis 2. Rotate by angle Lagrangia n: axis 3. Rotate by angle about axis Generalized coordinates of particles: Kinetic energy Rocket emitting matter at constant velocity u relative to rocket with speed v. For a symmetric body, last rotation is unnecessary Kinetic energy in terms of rate of change in Euler angles: Map coordinates: Rockets about Rotation with misalignm ent with principal axis: Chapter 9: Rigid Bodies Stable if Constraints or , in which case and 6 more degrees of freedom describes position of all particles takes 3 degrees of freedom (trivial for isolated system) Chapter 10: Lagrangian Mechanics Angular velocity, angular momentu m, and moment of inertia Most general case: Conservative force: Velocity-potential: Principal moments of inertia Principal axes: Kinetic energy: Most general force: Chapter 12: Hamiltonian mechanics Definition: Dissipative force: - Examples: Damped harmonic oscillator: Derivatives of : Charged particle in EM field: Natural system (not forced): Motion of a stretched string: Action integral: In general, To apply, just plug into definition and then make sure only depends on and ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern