Recent content by undrcvrbro

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    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.
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    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.
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    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!
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    Simple Vector Problem

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