Recent content by undrcvrbro

Bump. Anyone?

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...

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...

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...

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...

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.

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 \\\\\...

Does anyone want to get me started in the right direction?

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

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...

Ohhh. Yikes, I can't believe I didn't notice that! Thanks again!

Thank you! I have the right answer, but I don't understand why you chose t= 4pi/6..can you explain?

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...

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!

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