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Oscillations problem

  1. Dec 6, 2009 #1
    1. The problem statement, all variables and given/known data

    The graph of displacement versus time for a small mass at the end of a spring is shown. At t = 0, x = 0.43 cm. (a) If m = 14.3 g, find the spring constant, k. (b) Write the equation for displacement x as a function of time.

    2. Relevant equations

    f = (1/2pi) * SQRT (k/m)
    f = 1/Period = 1/ 0.69 sec = 1.45 cycles/sec
    SQRT (k/m) = 2 * pi * f

    k = m * (2 * pi * f )^2

    k = 0.0143 kg * (2 * pi * 1.45 cycles/sec
    )^2


    3. The attempt at a solution

    1.19 N/m
     
  2. jcsd
  3. Dec 6, 2009 #2
  4. Dec 6, 2009 #3

    rl.bhat

    User Avatar
    Homework Helper

    Your k value is correct.
    The general equation of oscillation is
    x = x0*sin(ωt + φ)
    When t = 0, x = x0*sin(φ)
    Put the values of the x and xo and find the value of φ. Then write the general equation.
     
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