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Pendulum - find maximum angular displacement

  1. Oct 28, 2009 #1
    1. The problem statement, all variables and given/known data
    A 15-centimeter pendulum moves according to the equation:

    theta=0.2cos8t

    where theta is the angular displacement from the vertical in radians and t is the time in seconds. Determine the maximum angular displacement and the rate of change of theta when t=3 seconds.


    2. Relevant equations
    See, here's where I get stuck. It doesn't seem like I'm given enough information to do ANYTHING with this problem. At first I thought I could find the absolute maximum value by solving for theta at the endpoints and critical numbers, but I don't have any endpoints. Any physics equations I could use go out the window as well, because I have no initial displacement or velocity or any such stuff.


    3. The attempt at a solution
    Insert an hour of frustrated grumbling here, with no results.
     
  2. jcsd
  3. Oct 28, 2009 #2

    Delphi51

    User Avatar
    Homework Helper

    Graph y=0.2cos8t to see the whole picture!
    Or recall what value(s) of x make cos x a maximum. Graph y = cos x if you don't recall.
     
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