Recent content by nocloud

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    How do i deal with integral boundary conditions?

    I am trying to solve an ode of the form u"(x)=a(x) where a(x) is some known function and the domain is from -inf to +inf. I am required to use Green's function. The boundary condition is u(0) = Integral[u(x),{x,0,1}] = 0 My Green's function has the form G(x,y) = A(y)*x+B(y) x<y G(x,y)...
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    Energy + momentum conservation paradox

    here's the situation one ball with mass m1 and velocity v1 collides with second ball with mass m2 and 0 velocity. they stick together and the resulting blob has mass m1+m2 and velocity v3 which can be easily found using m1v1+0 = (m1+m2)v3 by conservation of momentum lets assume we are on...
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    How do i properly set up a colpitts oscillator?

    i need a colpitts oscillator in this circuit i am building but i am having a very hard time finding an oscillator design that work and figure out what values i need. Can anybody give some suggestions on colpitts oscillator designs? I am looking for an oscillation frequency below 100 kHz...
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    Differential equations question

    ah, my bad, okay, this problem is now very easy then since its linear and i can just use an integrating factor
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    Differential equations question

    i have this equation: dx/dt = t/(x*t^2+x^3) using the substitution u = t^2, i obtain the following equation: du/dx = 2u/(ux+x^3) does anybody know how i can solve this equation?
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    Maximum Applied Force for No Slippage in Angular Motion

    ahh, I'm so confused, can somebody help? I'm totally lost now
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    Maximum Applied Force for No Slippage in Angular Motion

    when the torque caused by the force exceeds the torque generated by friction?
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    Maximum Applied Force for No Slippage in Angular Motion

    AH, oops, my bad, yea, the question is supposed to be what is the maximum force that can be applied without slippage occurring
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    Maximum Applied Force for No Slippage in Angular Motion

    okay, I've thought about this for a while and still can't figure it out and its absolutely bugging me to death here's the picture: http://img307.imageshack.us/img307/3193/problemcr4.gif Assume that the static friction coefficient between the cylinder and the ground is "u", the gravitational...
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