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New to classical mechanics

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  1. Feb 9, 2007 #1

    bit188

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    Hey, self-studying, I've just started into Marion's Classical Dynamics of Particles and Systems, and I'm having major issues with the problems; I don't even have any idea where to start. I was wondering if somebody would be willing to give some general advice and maybe go through a couple of them with me?

    Here's a problem:

    A particle is projected with an initial velocity v0 up a slope which makes an angle (alpha) with the horizontal. Assume frictionless motion and find the time required for the particle to return to its starting position.

    EDIT: Sorry! Missed the homework forum...
     
    Last edited: Feb 9, 2007
    bit188, Feb 9, 2007
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  3. Feb 9, 2007 #2

    Cyrus

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    How much physics have you taken?
     
    Cyrus, Feb 9, 2007
  4. Feb 9, 2007 #3

    bit188

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    Previously? I'd done introductory mechanics. I guess this is the next step?
     
    bit188, Feb 9, 2007
  5. Feb 9, 2007 #4

    Cyrus

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    You can do it, but its going to be painful :smile:.

    Have you taken any classes in statics or dynamics?
     
    Cyrus, Feb 9, 2007
  6. Feb 9, 2007 #5

    bit188

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    Ah hah hah...:frown:

    Pointers? Advice? Thanks!
     
    bit188, Feb 9, 2007
  7. Feb 9, 2007 #6

    bit188

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    No classes. All self-teaching, I'm far far too young to be allowed in classes...
     
    bit188, Feb 9, 2007
  8. Feb 9, 2007 #7

    Cyrus

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    Just work through it and ask questions I guess. How old are you? This book is for seniors/grad students. Its going to assume you know a lot of background material.
     
    Cyrus, Feb 9, 2007
  9. Feb 9, 2007 #8

    bit188

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    Between 12 and 14. XD

    Background material, I assumed, was introductory mechanics... anything else I should do for prereqs?
     
    bit188, Feb 9, 2007
  10. Feb 9, 2007 #9

    Cyrus

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    calculus 1,2,3. Ode's, some linear algebra, and statics and dynamics.

    How is your math background?
     
    Cyrus, Feb 9, 2007
  11. Feb 9, 2007 #10

    bit188

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    Calc 1-3, that's all. I have some books on linear algebra and odes, though.

    Statics and dynamics? What's that all about?
     
    bit188, Feb 9, 2007
  12. Feb 9, 2007 #11

    Cyrus

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    Statics is a course on, statics. :tongue2: You should know this from your mechanics course.

    Given your background, I think you could read through the book you have. But it will still be tough unless you have some experience with statics and dynamics.
     
    Cyrus, Feb 9, 2007
  13. Feb 9, 2007 #12

    bit188

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    Ah... well, I guess I'll give it a try. Could you help me with that problem I posted?

    Thanks for your help!
     
    bit188, Feb 9, 2007
  14. Feb 9, 2007 #13

    Cyrus

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    I am going to take a very quick stab at it but it might be wrong.

    Draw a free body diagram along the incline with all the forces labeled on the particle. You will have gravity acting down, and it will be the only force. Then find the component in the direction opposing motion. Once you do this, write your equations of motion and solve them given your initial conditions.

    I got this as the final answer:

    [tex] t= \frac{v_0}{2gsin(\alpha)} [/tex]

    Edit: I had the fraction inverted by accident.

    Do you know what the answer is?
     
    Last edited: Feb 10, 2007
    Cyrus, Feb 9, 2007
  15. Feb 9, 2007 #14

    bit188

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    It's the equations of motion that get me. XD
     
    bit188, Feb 9, 2007
  16. Feb 10, 2007 #15

    Cyrus

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    Show some work. What are you doing/getting?
     
    Cyrus, Feb 10, 2007
  17. Feb 10, 2007 #16

    bit188

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    Actually, my main issue is that I have no idea how to begin or what the heck to do. I was hoping for some general advice on starting a problem and what to do?

    Sorry, and thank you. This is gonna be tough, but I know that I can do this if I work at it.
     
    bit188, Feb 10, 2007
  18. Feb 10, 2007 #17

    Cyrus

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    For a book of this level, I cant teach you how to write the equations of motion. You have to do that on your own. If you cant, going through this book is going to be hopeless. This book isnt going to hold your hand, so expect things to get a LOT worse than this simple problem.

    Write the equations of motion for starters.

    Lets be clear, you are reading https://www.amazon.com/Classical-Dynamics-Particles-Systems-Thornton/dp/0534408966 book, yes?
     
    Last edited by a moderator: May 2, 2017
    Cyrus, Feb 10, 2007
  19. Feb 10, 2007 #18

    bit188

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    F = ma = m(dv/dt) = mv0cos(alpha) + mv0sin(alpha)

    Is that right?
     
    bit188, Feb 10, 2007
  20. Feb 10, 2007 #19

    Cyrus

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    Almost, those v_0 are wrong, and you have sign errors.
     
    Cyrus, Feb 10, 2007
  21. Feb 10, 2007 #20

    bit188

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    Break velocity into horizontal/vertical components--

    v0x = v0 cos x
    v0y = v0 sin y

    Then compute derivative for acceleration--

    ax = -sin x
    ay = cos y

    F = ma = -m sin x + m cos y

    Is that right?
     
    bit188, Feb 10, 2007
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