Recent content by hagobarcos

oh! Yes :D Excellent, thank you for clearing that up.

Okay actually I do have a question, in my book the formula for Mx is double integral of ky dA And for My is double integral kx dA Which is correct?

Aw sweet, turns out I had the wrong variable in my Mx & My formulas, kept getting the thing wrong:)And for symbols, my screen just shows "quick symbols", none of the fancy LaTex y'all are using ^^

Homework Statement Find the center of mass of a planar lamina, in the form of a triangle with vertices (0,0),(0,a),(a,a), if ρ=k Homework Equations m = ∫∫f dA xbar = My/m ybar = Mx/m The Attempt at a Solution mass = ka²/2 Mx = ∫∫yk dy dx My = ∫∫xk dy dx...

Ah. Yes because, well attached is a photo. Part of the problem is that I have been thinking about a different equation for the problem, different coefficient, so the previous response was also a bit off. But the rest of it is as follows: As illustrated in the photo, forgive me for the...

Aw jeeze, still messing up. How about I treat the line z = 6 as the top curve, and z = 0.5y^2 as the bottom curve. To find the height of a tiny slice, Height = 6 -0.5y^2 Radius = y Width = dy Volume = 2pi integral( y*(6-(0.5y^2)))dy Evaluated from 0 to 3

Okay, so just looking at the lid of this figure, it is a circle, with radius of 3, and an area of 9pi. The rest of it looks sort of like a cup, that tapers down, the radius getting smaller and smaller, and the sides steeper and steeper until y = 0, at which point z = 2, but for the sake of...

alright, so using advice from HallsofIvy, i set the integral up like this: V = 2pi ∫y(9/2 - 0.5y^2) dy , evaluated from y = 0 to 3. it comes out to 63.6174. This also appears to be wrong, and although the site does not give me the answer they want, in the guided practice they...

Excellent. Thank you for the assistance :D

Well actually, after some meddling, got this:

Maybe this is still wrong, but I have a resultant of 7i + 6j + 0k from crossing <0,0,1> with <-6,7,5>, which I then used to produce 7(x-4) + 6(y-2) = 0, which turns out to 7x + 6y - 40 = 0. However, upon asking Wolfram Alpha to plot it, I got a line!

Well, since the unit vector always points up by 1 unit, for point P(4,2,1), the vector says to go up one to (4, 2, 2). For point Q(-2,9,6), it says go up one unit in the z axis, to (-2,9,8). With these new points, the cross product of the resulting vectors should yield the direction numbers...

Homework Statement The top of a rubber band bushing is designed to absorb vibrations in an automobile is the surface of a revolution generated by revolving the curve z = (0.5y^2) + 2 for (0<= y <= 3) in the yz plane about the z axis. use the shell method to find its volume...

Does the unit vector z count? <0,0,1>

Homework Statement Find an equation of the plane that passes through the points (4,2,1) and (-2, 9, 6), and is parallel to the z axis. Homework Equations a(X-Xo) + b(Y-Yo) + c(Z-Zo) = 0 The Attempt at a Solution Okay so for this one, I first tried to make a vector out of the...