Ah... It's starting to make more sense now, thanks. So since density is varying with the height we make it all one integral rather than separate ones. Part B is the same question except with the 4m on the ground on its point with the rectangle side up. I figured once I'd managed A, B would be...
Homework Statement
A compressible liquid has density which varies with height. AT the level of h meters above the bottom, the density is 40(5 - h) kg/m3
a) The liquid is put in the containers below. The cross sections of the container are isosceles triangles. It has straight sides and...
Bah, I made a distributing error which would result in a -\Theta and +\Theta canceling out, thanks a lot!
And thanks, it makes it easier to read
Now when setting \frac{dE}{d\Theta} equal to zero I came up with:
\Theta = \frac{-\mu}{-2\mu^{2} - \mu\Theta}
Is this correct? Thanks again...
Optimization problem -- Trouble differentiating function
Homework Statement
The efficiency of a screw, E, is given by
E=\frac{(\Theta - \mu\Theta^{2})}{\mu + \Theta} , \Theta > 0
where \Theta is the angle of pitch of the thread and \mu is the coefficient of friction of the material, a...