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Help Period of oscillation of the mass!

  1. Nov 15, 2007 #1
    A mass which is resting on a horizontal frictionless surface is connected to a fixed spring. The mass is displaced 0.16 m from its equilibrium position and released. At t = 0.50 s, the mass is 0.08 m from its equilibrium position (and has not passed through it yet).

    What is the period of oscillation of the mass?

    I know I am suppose to put what I have done so far but I have given up with the trying. Could somebody please give me some guidance and explain please.

    Thank you!
     
  2. jcsd
  3. Nov 15, 2007 #2

    Dick

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    You can generally write the position of the mass wrt to equilibrium as x(t)=A*cos(omega*t+phi), where A is the maximum displacement and phi is the phase. Since you know you have maximum displacement at t=0 you can set phi=0 and A=0.16m. So x(t)=(0.16m)*cos(omega*t). Enough hints, now can you put the values at t=0.5 sec in and solve for omega? Knowing omega, can you figure out the period?
     
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