Preflight assignment 7


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  1. (Re)read Example 4.7 in Taylor. For me, the trickiest part was understanding the little step of geometry just before Eq 4.59, where Taylor says "the length BC... is r theta" Look at the picture, convince yourself you understand! If you don't, just say so in the space below. If you do - was it so obvious you didn't even have to think, or did it take a moment of head-scratching? (There's not much here you need to write, we just want you to think carefully about the geometry)



  2. Look at the figure below, which shows a possible design for a child's toy. You will be solving for the stability of this toy in an upcoming homework, no calculations are required for this preflight! The designer wants to build a "weeble" (which wobbles, but doesn't fall down :-) It is a single, solid object, the shape is a perfect hemisphere (radius a) on the bottom, glued to a solid cylinder on top. The CM is shown, it is "h" above the base.


    image
    For now - we just want you to look at the situation and visualize it. It sure looks like a 3-D object, yet we are in Taylor's chapter called "one-dimensional systems". Can we consider this situation to be a 1-D problem? (If so, why? If not, why not?)


  3. A particle undergoes one-dimensional motion in a potential U(x), shown below. The horizontal line shows the total energy of the system. At what lettered point is its velocity the largest?
    fig2

    A
    B
    C
    D
    speed is the same at all of them
    (not answered)

  4. Briefly, explain your reasoning



  5. Please submit a question you have about the reading assigned for the upcoming class. What seemed hard, was something confusing, what would you like us to spend class time on? If you can't come up with any question, how about a comment - (did anything strike you as interesting? )
    Reminder: the reading assignments are on our course calendar


    Thanks for your time.

Optional! - below is a space for any additional relevant comments, thoughts, or suggestions you have.




When you are satisfied with your responses click the SUBMIT button.