Recent content by FluxCapacitator

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    Is Copyright Infringement Morally Equivalent to Stealing?

    Filesharing is wrong, plain and simple. You are taking a product of some sort without giving any compensation, which by my definition at least is stealing. It's not like artists don't make it easy enough for you as it is. Most band websites stream a few songs for free, and even some...
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    Using monkeys as workers on an industrial scale - ethical questions

    I find it interesting how your different classes correspond with the intelligence of animals. I think that humans definitely have a greater connection with animals that exhibit intelligence, but more so with animals that are similar to us. Most people find mammals to be cuddly and...
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    Why do we do anything? The true motivation behind human actions

    In my experience, I've found there are several groups of people: the selfless, the admittedly selfish, and the closet selfish. Selfless people are a minority, they truly do everything they can to help others. These are not only the people who move to third world countries and sacrifice...
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    Is My Lagrangian Approach to This Inclined Plane Problem Correct?

    I haven't had any formal training in solving Lagrange's equations, but here's what I would do: \frac{d}{dt} \frac{\partial L}{\partial \dot{r}} -\frac{\partial L}{\partial r}=0 and \frac{d}{dt} \frac{\partial L}{\partial \dot{\theta}} -\frac{\partial L}{\partial \theta}=0 Which...
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    Is My Lagrangian Approach to This Inclined Plane Problem Correct?

    I'm also just learning about Lagrangians, and I probably would have made the same mistake without the above hint, but would the Lagrangian instead be: L= \frac{1}{2}m \dot{r}^2 + \frac{1}{2}mr^{2}\dot{\theta}^{2} -mgrsin\theta Is that correct?
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    Where is the centre of gravity for a person lying horizontally on two scales?

    You've got to show a little effort before someone's going to help you, but here's some general advice for any equilibrium problems. 1) Draw a vector diagram 2) Resolve all of your vectors into components, and draw a separate vector diagram with these. 3) Apply Newton's Second Law for each...
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    Solving Lagrangian Problem: Find Lagrange's Eqns & Steps

    Thanks, then I was doing the right thing, but this problem is just a little geometrically involved, so it looked more confusing that it perhaps really was.
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    Which Plane Orientation Dissipates the Most Mechanical Energy?

    Here's a hint, there's energy in many forms, kinetic, heat, and of course, gravitaitonal.
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    Solving Lagrangian Problem: Find Lagrange's Eqns & Steps

    A spring of rest length L_0 (no tension) is connected to a support at one end and has a mass M attached to the other. Neglect the mass of the spring, the dimension of mass M, and assume that the motion is confined to the vertical direction, and that the spring stretches without bending but can...
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    Mastering Kirchhoff's Law: Solving for 5 Currents in a Complex Circuit

    Kirchoff problems are hard algebraicly, but finding the equations shouldn't be too difficult. You seem to have mastered the current branching equations, (i1=i2+i4), but you also need to know this one: \epsilon - \sigma i_{n}r_{n}=0 over a closed loop. To use the above equation, just make...
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    Areas of mathematics that could be self-taught

    I taught myself basic Calculus between 10th and 11th grades, and I found it invaluable. The only real problem I found was that I didn't learn the chain rule properly the first time around, and for some reason integrating by parts just stumped me for a week, but other than that, it's definitely...
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    Calculating Angle Ratios in Electrostatic Systems

    The number one thing you have to realize is that the balls are in equilibrium, or, the forces in all directions cancel out. You have weight vectors pointing down, electrostatic force vectors pointing left and right, and Tension vectors pointing up diagonally. The forces have to cancel out...
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    Evaluating Tricky Integral: \int \sqrt{1+4\cos^2 2x}

    I understood that part just fine, but I couldn't find out what the heck the ellipticE function was. If you could just show me some function, I don't care how complicated it is, E(a,b), then I'd be happy and content. I just can't find that function for some reason.
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    Evaluating Tricky Integral: \int \sqrt{1+4\cos^2 2x}

    Quite frankly, I'm feeling waaaaaaaaay out of depth with this problem. I can understand that some mathematician found a solution to a similar problem as mine, but it was so complex that he just called it EllipticE. Oh wait, where's my political correctness, it could have been a female...
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    Evaluating Tricky Integral: \int \sqrt{1+4\cos^2 2x}

    Thanks for confirming my suspicions that it wasn't integrable.