Lagrange's Equations Intro, Generalized Coordinates, Constraints, Degrees of Freedom, Lecture 17

Поділитися
Вставка
  • Опубліковано 10 гру 2024

КОМЕНТАРІ • 6

  • @rahardikramadibrata8675
    @rahardikramadibrata8675 8 місяців тому

    Can you explain why, at 5:14, the velocity of the particle ball is l*theta? I thought the l was constrained, so the velocity should be theta only.

  • @trigocuantico
    @trigocuantico 3 роки тому

    Can this be used for collisions? Maybe two balls colliding

  • @Lars-nf3fv
    @Lars-nf3fv 3 роки тому +1

    I dont quite understand why h was set to be -lcos(theta).

    • @ProfessorRoss
      @ProfessorRoss  3 роки тому +2

      I’m guessing you mean around 5:45 . I’m measuring the height of the mass at point P with respect to the pivot point O. So when point P is below point O, the “height”will be negative. You could also think of it this way: consider the position vector of point P with respect to point O. If you take the vertical component or a vertical projection of this vector, you get -l*cos(theta)

  • @arjyadebsengupta8159
    @arjyadebsengupta8159 3 роки тому +1

    thank you sir

    • @ProfessorRoss
      @ProfessorRoss  3 роки тому +1

      You're welcome. Thank you for watching. I hope it was helpful.