Damped Oscillation with a Driving Force (Help)

  1. 1. The problem statement, all variables and given/known data
    A sinusoidally varying driving force is applied to a damped harmonic oscillator of force constant k and mass m. If the damping constant has a value b_1, the amplitude is A_1 when the driving angular frequency equals sqrt (k/m).

    In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is 3b?

    In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is (1/2)b?

    2. Relevant equations
    A= (Fmax/(sqrt(k-mw^2)^2+(b^2w^2))

    w= omega


    3. The attempt at a solution
    I try to put in the the b values but it is saying it is incorrect.

    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. I got the answers they are

    (1/3) A_1

    and

    2A_1
     
  4. G01

    G01 2,698
    Homework Helper
    Gold Member

    Where is your work? How can I know what you did wrong if you don't show me your work?

    EDIT: I see you figured it out. Good Job!
     
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