Recent content by limofunder

I think I finally understand it, then we use the fact that u=θ/θ0, and rewrite the expansion in terms of θ0?

So the expansion of f(u)=\frac{1}{\sqrt{\cos(u\theta_0)-\cos(\theta_0)}} about u=0 gives: f(u)+θ0f'(u)+θ02/2 yielding \frac{1}{\sqrt{cosu\theta_0-cos\theta_0}}+\frac{u\sin(u\theta_0)}{2...

i erroneously thought that the θ00+εθ01+ε2 θ02/2 terms represented the expansion about θ0. so then following the help you gave, the expansion of the integrand would be following Taylor series: f(0)+f'(0)+f''(0)... where we only go the second order since the original problem asks us to go to...

Homework Statement Find the perturbation approximation of the following in terms of powers of θ0. T=\sqrt{\frac{8L}{g}}\int^{\theta_0}_{0} \frac{d\theta}{\sqrt{cos\theta - cos\theta_0}} It is helpful to first perform the change of variable u = θ/θ0 in the integral Homework Equations...

ok, so then that gives way to dE/dt = θ' (Lθ''+g sinθ) the second term being by definition of [1] >= 0 for all time. Thank you, so that still begs the question, I do not see how this forces [1] to satisfy 1/2 Lθ' - g cosθ + g cosθ0

Homework Statement W We know the model of an ideal pendulum at rest is given by L \ddot{\theta} + g sin \theta =0, t\geq0 \dot{\theta}(0)=0 \theta(0)=\theta_0 where \theta(t) is the pendulum angle at time t, L is the length of the pendulum, and g is gravity...

Yes, I apologize, I understand the ammeter already has internal resistors to measure the current. I plan to run this through a DAQ which requires a resistor to measure the current sent to the computer (the program I'm using asks for a resistance value since the DAQs are configured to measure...

I am working on an experiment involving Langmuir probes. I believe the probes act as capacitors when placed in a plasma to get a reading of the current density in the plasma. However, since we are biasing a voltage, I know that in order to read the current we must insert a resistor between the...

thanks fellas, once again, couldn't have done it without yall.

or would it be easier if I do the calculation by breaking it down into atomic masses, add the total of oxygen mass divided by the total mass of the compound?

would it be more correct to say that the percent composition of oxygen is: 0.46* \frac{2}{3}O + .04* \frac{1}{2}O+ 0.45* \frac{1}{2}O = .5516 = 55.2%?

Homework Statement I am running an experiment in which I have a compound of SiO2 Na2 K2O PbO I am trying to figure out the percent composition of oxygen given that the percent composition of the compound is: 46% SiO2 5% Na2 4% K2O and 45% PbO Homework Equations 46% SiO2 5% Na2 4% K2O and...

thanks a bunch guys

Is there a reason for which the latex code doesn't appear? I pulled the notation direct from the sigma reference in the tool box menu

Homework Statement I am having a bit of trouble with a homework problem on relaxation oscillators, the schematic is shown below: https://webspace.utexas.edu/sz233/Relaxation%20Oscillator.png The original problem states: derive a relationship for the period of oscillation for a relaxation...