Recent content by antny

If there's a resistor, there will always be energy lost, hence the damping. An LC circuit (no resistor) will oscillate without damping.

Critical damping will occur when \alpha^{2}-4\omega^{2}_{o}=0. Another way to write it is: R=sqrt(4*L/C). If you plug in your values for R, L and C, you'll find that it is indeed critically damped.

Hi, In your last example, you're forgetting that if you slice the current into 4 individual currents, the cross section that each current is flowing through is 1/4 the total cross section which means the resistance for each current is 4-times the total resistance. In the end you'll get the...

Perhaps I don't understand your notation, but shouldn't [f(c)-f(a)] be Int[f, a, c]? Try plugging in those expressions into the right-side of the equation that you're trying to prove.

Hi, Why don't you apply the definition of the fave to fave[a,c] and fave[c,b]? Once you do this, I think you'll see that your expression simplifies quite nicely.

Hi, The torque equation you wrote should be: -mgd*sin\theta=Id^2\theta/dt^2 (you forgot the 'd' on the left-side.) For small angles, sin\theta\approx\theta The torque equation can then be rewritten as: -(mgd*\theta)/I=d^2\theta/dt^2 This is a common differential equation that...