Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Newton's Principia Problem

  1. Jan 9, 2015 #1
    Hello everyone, I am reading Principia Lemma 10 and I cannot understand it. Can someone please help explaining? Thank you very much.
    1.png
    23.png
    2.png
    Furthermore, is there any way of understanding the Principia in a more numerical ways rather than words like this? Just asking.
    Again, thank you very much.
     
  2. jcsd
  3. Jan 10, 2015 #2

    Doug Huffman

    User Avatar
    Gold Member

    S. Chandrasekhar Newton's Principia for the Common Reader Chapter 3, Section 15, pp 50-52 in modern integral notation.
     
  4. Jan 10, 2015 #3

    Philip Wood

    User Avatar
    Gold Member

    I think that in modern terms, this is [itex]s = \frac{1}{2} a t^2[/itex]. So [itex]\frac{s_1}{s_2} = (\frac{t_1}{t_2})^2[/itex]. This is constant acceleration from rest. Since it's at the very beginning off the motion, the force won't have had time to change?
     
    Last edited: Jan 10, 2015
  5. Jan 10, 2015 #4

    Stephen Tashi

    User Avatar
    Science Advisor

    It would interesting to know whether Newton is representing a graph of a function of position vs time with time on the y-axis or whether he is thinking of the curves as trajectories of an object in 2-D space.
     
  6. Jan 10, 2015 #5
    Wao, thank you everyone, this helps much
     
  7. Jan 11, 2015 #6

    jtbell

    User Avatar

    Staff: Mentor

    Last edited by a moderator: May 7, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Newton's Principia Problem
  1. Problem from principia (Replies: 1)

  2. Newton's Principia (Replies: 2)

Loading...