I know it's a little too early to be worrying about this problem but I want to save you the trouble of having to linger on this one forever (unless you want to) when the time comes (Friday Mar. 7th).
There is one thing you will need to know to solve this problem that the book does not mention in the chapter. You will have to calculate the radius of curvature which involves a formula that can be found on page 700 (Appendix C/10) of your book or at this link:
http://www.intmath.com/Applications-differentiation/8_Radius_curvature.php
That, in my opinion, is the hardest part to figure out in this problem. The rest should be cake: do your Angular Momentum analysis, FBDs, Newton and you'll be good. Hope this helps!!
P.S. Another tip: try using implicit differentiation, it will make things much easier!!
3 comments:
I am getting p (roe) to be negative when I plug in x=0. Therefore my T is negative. The answer sheet says it should be positive. I got the same answer, just the opposite sign. Does anybody know why?
We should treat the radius of curvature, rho, as a positive quantity. Usually the denominator of the equation given on page 700 of Appendix C is written as the ABSOLUTE VALUE of d^2y/dx^2. (I do not know why it is not written that way there.)
In short, take the absolute value of your value for rho and that should be good.
okay, thank you professor.
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