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  1. U

    Differential Equations: Is there Damping?

    Homework Statement A spring mass system has the equation of motion: c1e^(-t)*sin(t) + c2e^(-t)*cos(t) + 3*sin(t) Is there damping in the system? Is there resonance in the system? The Attempt at a Solution If I had to guess I would say that the 3*sin(t) at the end of the equation...
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    Maximum angle of elevation

    Homework Statement The axis of a light in a lighthouse is tilted. When the light points east, it is inclined upward at 7 degree(s). When it points north, it is inclined upward at 2 degree(s). What is its maximum angle of elevation? Homework Equations The Attempt at a Solution...
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    Radius of Curvature Application problem

    Homework Statement A factory has a machine which bends wire at a rate of 4 unit(s) of curvature per second. How long does it take to bend a straight wire into a circle of radius 8? My professor likes to give us things we've never seen before on our weekend quizzes. The above is one such...
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    Find the curvature of the curve

    So then would T(t) 1/(sqrt(8(sint)^2)) * (2cost, 2cost, -3sint) So then to find T'(t) you would have to use the quotient rule, right? Thanks for the tip. Sorry if the normal text is to hard to read. I'm getting frustrated trying to figure out how to put this into latex. It seems to...
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    Find the curvature of the curve

    They are the same. T(t)= r'(t)/ abs(r(t)) Just a different way of writing it I guess. And yeah, that's k(t).I'm sort of learning latex as I go.
  6. U

    Find the curvature of the curve

    Homework Statement Find the curvature \kappa(t) of the curve \\r(t)=(2sint)i +(2sint)j +(3cost)k Homework Equations \\\k(t)= (\left|T'(t)\right|) / (\left|r'(t)\right|) The Attempt at a Solution I found \\\\r'(t)= (2cost)i + (2cost)j + (-3sint)k \\\\\...
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    Calc III: Projectile

    Does anyone wanna get me started in the right direction?
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    Calc III: Projectile

    I can't. If I used a Physics equations for a calculus homework my prof would probably be worried about my state of mind.
  9. U

    Calc III: Projectile

    Homework Statement A gun if fired with an angle of elevation of 30 degrees. What is the muzzle speed if the maximum height of the shell is 500 m? Homework Equations The Attempt at a Solution I haven't gotten very far at all. I'm not sure how to even start this one. I know that...
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    Find parametric equations for the tangent line at the point

    Ohhh. Yikes, I can't believe I didn't notice that! Thanks again!
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    Find parametric equations for the tangent line at the point

    Thank you! I have the right answer, but I don't understand why you chose t= 4pi/6..can you explain?
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    Find parametric equations for the tangent line at the point

    Homework Statement Find parametric equations for the tangent line at the point (\cos(\frac{4 \pi}{6}) ,\sin(\frac{4 \pi}{6}) ,\frac{4 \pi}{6}) ) on the curve x=\cos t,\ y=\sin t, \ z=t Homework Equations The Attempt at a Solution Took the derivative r'(t)=( -sint...
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    Simple Vector Problem

    Okay, cool. Thanks Mark, for all the help this morning(it's 2:30 here in Ohio). I can now begin my Materials and Energy Balances homework!
  14. U

    Simple Vector Problem

    I got 14.03624347...in radians .2449786631(exact enough for you?:tongue2:)....does that sound about right?
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    Simple Vector Problem

    Homework Statement A child walks due east on the deck of a ship at 1 miles per hour. The ship is moving north at a speed of 4 miles per hour. Find the speed and direction of the child relative to the surface of the water. Homework Equations The Attempt at a Solution I've...
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    Equation of a sphere(where did I go wrong?)

    I realize that. It's sad that I can be in Calculus 3 and not use simple terminology correctly. I think a lot of that deals with my youth. I really didn't apply myself until my sophomore year of high school. I was lucky enough to work hard and get into a decent honors college. I guess those...
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    Equation of a sphere(where did I go wrong?)

    Woah...I need to stop staying up so late studying. Apparently ((-1)+17)/2 does not equal 3.... I guess my lack of attention to detail seems to be a recurring theme, eh?
  18. U

    Equation of a sphere(where did I go wrong?)

    I'm sorry. Apparently my attention to detail has gotten sloppy as I've moved on in math. Would this be better?: r^2= (x-a)^2 +(y-b)^2 +(z-c)^2 Sorry, that's also my mistake. The midpoint formula is actually (x1 + x2)/2. So my numbers should be correct, I just made a mistake while typing...
  19. U

    Equation of a sphere(where did I go wrong?)

    Homework Statement Find the equation of a sphere if one of its diameters has endpoints: (-1, -16, -1) and (17, 2, 17). Homework Equations midpoint formula= x1+x2/2 + y1+y2/2 + z1+z2/2 equation of a sphere= (x-a)^2 +(y-b)^2 +(z-c)^2 The Attempt at a Solution Okay this problem is...
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    Calc III Vector problem

    First of all, thanks for responding! Wait, so should I just calculate the magnitude of either vector? So for instance, if I were to use T1... abs(T1) = \sqrt{(-11.76^2) + (9.8^2)} So T1= 15.3 Edit: I just submitted my answer using that method and it's correct. Thanks again.
  21. U

    Calc III Vector problem

    Homework Statement A horizontal clothesline is tied between 2 poles, 12 meters apart. When a mass of 2 kilograms is tied to the middle of the clothesline, it sags a distance of 5 meters. What is the magnitude of the tension on the ends of the clothesline? Homework Equations F=mg...
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    Corrosion Engineering?

    My school is offering the United State's first corrosion engineering degree, and I was curious if anyone knew just how useful that degree might be. The university makes it sound rather in demand, but I'd like to get an unbiased opinion. I've already finished my first year in Chemical...
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    20 Ugliest Colleges in the USA?

    Yes, thank you. Next time I'll think twice before responding, especially given the little amount of sleep I've gotten lately. Sorry, maybe I should clarify. I just searched "Akron" to see what would come up(study break). Multiple times I found BobG badmouthing what appeared to be his...
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    20 Ugliest Colleges in the USA?

    Wow, I know I'm going to get slack for bringing up such an old post, but BobG's pessimism and lack of hometown pride is sickening. I'm not from Akron, but I go to school there now. Bob, no doubt, probably remembers the big ugly commuter campus it used to be. Now, it has over 10,000...
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    Schools What grad schools are within my reach?

    Sorry in advance, because I realize this is an incredibly broad question. I'm studying Chemical Engineering in the U.S(ohio) and I really would love to further my studies somewhere. I will most likely graduate with my B.S in ChemE with about a 3.5/4.0 GPA. I know there are a LOT of other...
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    Programs Major Career Options: CHEM, CHEM ENGR, MATH, PHYS

    I've gotta give props to Chemical Engineering. Although a math major may make you happier while in school, the job possibilities(outside academia) are relatively less than most engineering majors. And if money is any incentive(it usually is for most college students) then it's probably...
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    Please help me like chemistry

    Why no love for Chemistry? The further I get into my degree, to more I realize that we Chemical Engineers are a rare breed.
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    Engineering Best language to learn for a career in science/engineering?

    I heard somewhere that French is a good pick in general, just because of how widely it's used in different parts of the world. As for scientist/engineer...I've been wondering the same thing for a while.
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    Best GRE Prep Book for Quantitative

    haha. I hope that last post was sarcasm. It's good to go in confident, but not cocky. If you don't prepare well for something you are naturally going to under perform.
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