Recent content by funnyguy

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    Summing sinusoids of different frequency

    I don't expect to, I asked if it was possible. I know it is possible to write any repeating function as a sum of sinusoids (Fourier?) but I was just curious if there is a process to combine a sum of 2 into 1. I'm mainly interested for representing purposes, I just wanted to see if there was...
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    Summing sinusoids of different frequency

    I don't think trig identities are going to be much help. Acos(2παt + φ) + Bcos(2πβt + χ) = A(cos(2παt)cos(φ) - sin(2παt)sin(φ)) + B(cos(2πβt)cos(χ) - sin(2πβt)sin(χ)) Which has turned a sum of 2 sinusoids into 4 products and 3 summing operations on 8 sinusoids. This is kind of the...
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    Summing sinusoids of different frequency

    I'm curious if there is a way to combine sinusoids of multiple frequency into a single sinusoid? For example, I'm looking for a way to combine: Acos(2παt + φ) + Bcos(2πβt + χ) where A, α, φ, B, β, χ are scalar constants and α & β represent the frequency. I'd even be interested in a less...
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    Expected tries to to remove ball from urn

    Maybe I see what you're saying. P(X=1) = 1/4 P(X=2) implies P(X=2) AND P(X!=1) = 1/3 * (1- P(X=1)) ?
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    Expected tries to to remove ball from urn

    Sorry, but I forgot to mention this is without replacement. So to start the black ball probability is 1/4, but after the 1st attempt the black ball is 1 of 3 remaining, etc.
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    Expected tries to to remove ball from urn

    I have a problem dealing with expected values. I'll jump right into the problem: There are 3 red and 1 black balls in an urn. What is the expected number of times a ball must be removed before a black ball is removed. I originally thought of this using E[X]=1*P(X=1) + 2*P(X=2) + ... I...
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    Pulse Reversing SPDT? | Low Voltage DC Solutions

    I'm wondering if there is such thing as a spdt which reverses upon being energized/de-energized? So each time a voltage is disconnected then reconnected the switch flips once and locks in place till the next disconnect/connect. I'm interested in this for a low voltage dc circuit.
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    Can a Microcontroller Replace a 555 Timer for a Low Frequency Flasher?

    Well, I didn't think they would, but I think the original documentation and formulas I had misled me. Originally, I looked at the calculations and thought that even with R values in the 100 kohm ranges I would need very large $5+ capacitors to make the high time what I needed. I see now that...
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    Can a Microcontroller Replace a 555 Timer for a Low Frequency Flasher?

    I want to build a low frequency, uneven cycle flasher somewhere around 10 seconds on, 5 seconds off. I planned on using a 555 timer and a MOSFET to drive my load, a small DC motor. Are there any other suggestions for something at low frequency? I'm just concerned at the R and C values needed...
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    Multiple in-phase AC sources to a load

    My point is that with two voltage sources, and load would pull current from Both sources, the grid and the solar inverter. They cannot be at different voltages otherwise there would be racing currents as the inverters output is directly tied to the split phase poles. This is just basic KCL...
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    Multiple in-phase AC sources to a load

    I'm trying to figure out how multiple AC sources which are in phase would be able to be used sequentially to power a load. This all started as I read some literature about solar PV panel systems which had a wiring diagram to tie output from the inverters directly into the electrical panel split...
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    Integrate e^(-u^2) du: Polar Coords Explained

    It may help if you describe what you are trying to accomplish. I don't follow how \int {e^{-{u^2}} du = \int\int e^{-{x^2}} e^{-{y^2}} dx dy. I think you are trying to say that it is the product of two integrals, \int {e^{-{u^2}} du = \int e^{-{x^2}} dx \int e^{-{y^2}} dyYou can't directly...
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    What Are the Reaction Forces in These Physics Diagrams?

    a) Assuming the spring hasn't been compressed before, isn't the spring trying to return to its equilibrium position? If so, if you pull a spring right, why would its restoring force vector be in the same direction as the pulling force done by the hand? Try it out. Grab a spring, tie it to...
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    Working out formula for cylindrical capacitor

    Homework Statement Find the potential of a cylindrical capacitor Radius of both cylinder plates, x and y where x<y Height of the cylinder: h Charge on the plates: qHomework Equations E = \frac{q}{A\epsilon_0} = \frac{q}{2\pi r h \epsilon_0} \Delta V = \frac{\Delta U}{q} = - \int_a^b E drThe...
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    Solving a Physics Homework Problem: Work, Distance, & Normal Force

    I think I needed to change my part C calculation as K_2 = K_3 +U_3. Then solve for K_3 and then convert kinetic into velocity. So F_{N,top} = \frac{2 K_3}{r} - m g. I think that is the correct way to calculate it.
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