Recent content by Paul E.

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    Mathematica Mathematica: Inertia Tensor w/ 3-d Rectangle

    Thanks Tim, Since I'm fairly new to Mathematica... all I've seen is ParametricPlot3d for other plots, but never seen anything for a block or the inertia tensor. Anyone familiar with the programming?
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    Mathematica Mathematica: Inertia Tensor w/ 3-d Rectangle

    Hey All, I'm trying to create a 3-D rectangle in Mathematica with the following measurements: Mass M=1.5 kg, and sides of length a=10 cm (parallel to the x-axis), 2a (parallel to the y-axis), and 3a (parallel to the z-axis). Let one corner be at the origin, and let the three adjacent edges...
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    Schools Joining the military to pay for college

    Those "some people" probably don't know what the Officer world is like (not like I do either). You will be in charge of people, and you will be a problem solver. To be a successful Officer you need to reduce cynicism within your command, if you need to be a transformational leader to do that...
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    Schools Joining the military to pay for college

    I'm currently a part of the Naval ROTC program as a Marine Option. I would suggest finding something that you "wouldn't mind" doing for a significant chunk of years. I don't know the service requirements on other services but I do know that they just bumped up the Navy's to... I want to say 5...
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    How Does Physics Explain Unbreakable Egg Holders and Rotating Drop Models?

    The key to staying upright is keeping the center of mass of the system below the egg, other ways would be to use a parachute (I know your teacher told you you couldn't use that, but the skirt is maybe allowed?), or you could use fins of some kind. To put more weight below the egg is always tough...
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    Physics How Can I Combine My Love for Physics and Desire to Join the Military?

    Very true, however I believe my heart is with the military, as it has been for the past eight years or so. I just have a fascination, as many people on this site do, to learn, discover, and further my knowledge and challenge myself in everything I do. With the Marine Corps I am pushed...
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    Physics How Can I Combine My Love for Physics and Desire to Join the Military?

    Thank you sir, an insider's perspective is more of what I wanted to hear anyways so no harm done. I'm just finishing up my freshman year at the University so my knowledge of fleet life is nil to say the least. I was incorrect to think that there was shore duty, but more-so billets maybe? For...
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    How Does Physics Explain Unbreakable Egg Holders and Rotating Drop Models?

    When we had to do this for our Physics class a few years ago there were a few designs that did well: 1. Allowed no bounce to occur, thus no vibrations/resonance in the egg from bouncing off of the ground, this was done with a peanut butter jar and some designs allowed it to splatter out (made...
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    What determines the shape and spacing of equipotential lines?

    That is also true, however there usually is no numerical relationship between the spacing unless otherwise denoted along the lines. The distance should decrease between the lines linearly as the electric potential is given by kQ/r.
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    Physics How Can I Combine My Love for Physics and Desire to Join the Military?

    So the type of research I would be doing, assuming that I will be doing research and development, would most likely be on laser technology correct? Unless I put my emphasis of study elsewhere in a different field.
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    Physics How Can I Combine My Love for Physics and Desire to Join the Military?

    I'm personally on the track to do the same thing. Thus far it's been pretty entertaining to have fellow Marine Option Midshipman that have majors like Business and Criminal Justice, and here I come with Physics. Personally so far, I can't say whether Physics is a good major for a future...
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    What is the limit of tan^2(x) ln(sin(x)) as x approaches pi/2?

    Ah... Ok now I see where you both are coming from. After doing all of that and cancelling sines and cosines as suggested, I got an anwer of -1/2.
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    What is the limit of tan^2(x) ln(sin(x)) as x approaches pi/2?

    True, I derived the numerator twice, which is how I got -csc^2(x). (My bad) After actually writing this down on a piece of paper: d/dx(ln(sin(x)) is simply cot(x) d/dx(cos^2(x)) is -2cos(x)sin(x) but shouldn't the denominator be: d/dx(cot^2(x)) ? Because tan^2(x) is 1/cot^2(x)
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    What is the limit of tan^2(x) ln(sin(x)) as x approaches pi/2?

    Alright, I used Dick's method and found the derivative of both the top and bottom which turn out to be: -csc^2[x] (divided by) -2cos[2x] So now I have the form 0/2 correct? Thus the limit is zero?
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    What is the limit of tan^2(x) ln(sin(x)) as x approaches pi/2?

    I did make a mistake in that -1/0 is zero, that is not true, I was thinking 0/-1. I think if I represented tan^2[x] as 1/cot^2[x] that would give me the form of 0/0 correct? Now I think I can do the derivative of both the top and bottom. My first attempt in changing tangent to sines and cosines...
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