I have no idea how i should solve this problem..

http://snag.gy/L6hWl.jpg

Please help.. I seriously have no idea..

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- Mar 11th 2013, 07:15 AMkidi3Mass along a wire?
I have no idea how i should solve this problem..

http://snag.gy/L6hWl.jpg

Please help.. I seriously have no idea.. - Mar 11th 2013, 08:13 AMShakarriRe: Mass along a wire?
From the definition of dr

$\displaystyle dr= dxi+ dyj+ dzk$

Take the magnitude of dr

$\displaystyle |dr|^2= (dx)^2+ (dy)^2+ (dz)^2$

$\displaystyle (\frac{|dr|}{dt})^2= (\frac{dx}{dt})^2+ (\frac{dy}{dt})^2+ (\frac{dz}{dt})^2$

You can find the values of $\displaystyle \frac{dx}{dt},\frac{dy}{dt} and \frac{dz}{dt}$ in terms of t easily. Then get |dr| on its own and integrate it between t=0 and t=1

Edit. Didnt see that the density wasn't constant.

After you get an expression for dr in the form |dr|=g(t)dt since the density is 1+t find the integral of (1+t)g(t)dt between 0 and 1 - Mar 11th 2013, 09:21 AMkidi3Re: Mass along a wire?
After you get an expression for dr in the form |dr|=g(t)dt?..

what do you mean by numeric form of it, and g(T)? - Mar 11th 2013, 10:05 AMpeysyRe: Mass along a wire?
m=int(density*sqrt((x'(t))^2+(y'(t))^2+(z'(t))^2)d t

- Mar 11th 2013, 10:09 AMShakarriRe: Mass along a wire?
- Mar 11th 2013, 10:12 AMHallsofIvyRe: Mass along a wire?
- Mar 11th 2013, 10:14 AMpeysyRe: Mass along a wire?
density=(1+t) g/u =)

- Mar 11th 2013, 11:19 AMShakarriRe: Mass along a wire?