1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Simple harmonic motion equation

  1. Nov 16, 2007 #1
    1. The problem statement, all variables and given/known data

    An object is undergoing simple harmonic motion. The graph shows the position of the object as a function of time. What is the first time after t = 0 s when the speed reaches a maximum?


    2. Relevant equations

    I don't know what equation to use to figure this out. φ = φo + wt perhaps?

    3. The attempt at a solution

    Im told that position at t=0 gives phi_0. But still do not know how to use the equation nor figure out any of the variables. Help is needed!
  2. jcsd
  3. Nov 17, 2007 #2


    User Avatar
    Homework Helper

    From the graph we get the following information. At t = 0 x = 1.5 cm, maximum displacent = 3cm, and period = 2s.
    Wright the equation of simple harmonic motion x = Asin(wt + phi). In this put A = 3cm, t = 0 and x = 1.5 cm find phi. Next take derivative of the equation, which gives the velocity and put it equal to zero. And find t.
    Last edited: Nov 17, 2007
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook