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Simple harmonic motion oscillate. What is the total energy

  1. Feb 1, 2015 #1
    1. The problem statement, all variables and given/known data
    The position of a 50 g oscillating mass is given by x(t)=(2.0cm)cos(10t−π/4), where t is in s. If necessary, round your answers to three significant figures. Determine: The total energy.
    2. Relevant equations
    T = 2π/w
    T = 2π√m/k
    1/2kA^2
    1/2mv^2
    1/2kx^2
    3. The attempt at a solution
    T = 2π/10 = 0.6283s
    k = 0.5kg / (0.6823/2π)^2 = 5.000N/m
    1/2kA^2 = 0.5(5)(0.02)^2 = 0.001J
     
  2. jcsd
  3. Feb 1, 2015 #2

    Nathanael

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    Homework Helper

    Your answer is right.

    In my opinion, it's more straightforward to find the answer from the maximum kinetic energy. Find the amplitude of dx/dt, which is the maximum velocity, which can be used to find the maximum kinetic energy (which equals the total energy because at that moment there's no potential energy).

    But whichever way you like best is good.
     
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