Recent content by Chip90

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    Buoyancy and Harmonic Oscillation

    right my equation is? P0*g*l3*y'' - y*pw*g*l2 + p0*g*l3=0 this has the solution y(t)= A * cos (w*t + \phi) so how do i figure out \phi I know \omega from F=Fb which gives me \omega= sqrt (pW*g/pO*l)
  2. C

    Buoyancy and Harmonic Oscillation

    ah, that makes sense. now that i have this equation with something equaling m* a do i just take the second integral of both sides to get the y(t) function?
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    Buoyancy and Harmonic Oscillation

    i see and what is the reason for that? does that still include for the fact that as the block is moving down, water is moving away and v.v.
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    Buoyancy and Harmonic Oscillation

    any ideas why that setup would be wrong? I am still not seeing the problem with it..
  5. C

    Buoyancy and Harmonic Oscillation

    Homework Statement A cork with a density \rho0 in the form of a cube of side length l floats on water with a density of \rhow. The pressure in water depends on depth h from the surface as P=\rhow *g*h. A. Find the equilibrium depth of the bottom surface of the cube (how much length is below...
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    Damped Harmonic Oscillation Problem

    ok taking the integral of that yields Q\int\frac{dE}{dn} = -2\pi \int E and the integral is from 0 to 100 because you want to get the energy after 100 oscillations right? but Ef is a fixed value, so how do I take an integral over this? I think it should go to this: Q Efinal \int\frac{1}{dn}...
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    Damped Harmonic Oscillation Problem

    I set it up as Q= 2* \pi \int0.003425/0.000845 dn from 0 to 100 so I think I forgot to numltiply by 100, so then I would get 2,545.. that doesn't seem right
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    Damped Harmonic Oscillation Problem

    ok so I should have E= 0.003425 Joules and the integral should be from 0 to 100, which would give me a Q factor of 25.45. Then use Q=\omega 0/\gamma to give me \gamma=0.033
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    Damped Harmonic Oscillation Problem

    Ok, so is this an exponential decay? The E=E0*e-y*t and the energy level is 1/100 so 1/100=e-y*t. But then I don't know the time... or do i want the situation where the final energy is given my the velocity of the weight? In which case Efinal = 0.5 * m * v2 Where Efinal=0.000845 Joules? and I...
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    Damped Harmonic Oscillation Problem

    Right I meant omega naut so that is right that was supposed to be pi so ω= 2*\pi*f Well Q is a dimensionless quantity, it represent the ratio of Energy stored to Energy lost. I also know that for large values of Q, Q= about number of oscillations. Q= 2*\pi*f*\stackrel{Energy...
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    Damped Harmonic Oscillation Problem

    well Q= 2*pi*f/y and Q=w1/y=w1/y and w= 2*m*f But how do 100 oscillations factor into all this?
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    Damped Harmonic Oscillation Problem

    Homework Statement A 100g mass is suspended on a rubber band with a k coefficient of 2.74 N/m. The original amplitude of the oscillations is 5cm and after 100 oscillations, the maximum speed of the weight is 0.13 m/s. Find the damping coefficient y. Homework Equations d2x/dt2 + γdx/dt...
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    Magnetic Field inside and outside wire

    ok so to find the inner B field, I use which would lead me to say B=Uo*I/ 2*pi*r and for the outer B=Uo*I/L
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    Magnetic Field inside and outside wire

    Homework Statement There is a wire with current I ,charge density j, and radius R. Find the Magnetic Field outside the wire (a>r) and inside the wire (a<r). Homework Equations Biot- Savart or Amperes law I=JdotA The Attempt at a Solution Not sure how to attempt it or which...
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