Recent content by nschaefe

Energy = a quantity/ amount of something. Power = the rate at which you use that energy. For example, replace the idea of energy with water. If your toilet uses 5 gallons of water per flush, this would be analgous to it using 5 "gallons" of energy. But now look at your sink. Obviously, if you...

On second though I may be incorrect... My answer was 10.55 E4 which is a whole magnitude off of yours. Sorry if I'm approaching this incorrectly. Can you confirm that the answer is 1.06 E4 not 10.6E4?

You are on the right track, now you need to identify the correct area to use No, ultimate shear strength is the breaking point of the material, i.e. the maximum shear stress it can withstand before catastrophic failure, whereas the shear modulus is more like a spring constant which relates...

I think you are both correct. You cannot have a true discontinuity between surfaces, as the heatflux and temperature at the interface must be constant. However, consider thermal contact resistance between the two surfaces, which is thin but also has a very, very low thermal conductivity. This...

I think I'm doing this right as I was able to get the answer you provided but no promises... First off, I am assuming you know the difference between shear stress and normal stress. From the diagram, where on the bolt will it be experiencing a shear stress? Specifically, you want to identify...

It all looks right to me. You should note that in the second problem, you can more easily (in my opinion) retrieve the coefficient of static friction by taking moments about the top of the ladder instead of the bottom. \sum M_{t} = 0 = W_{L}*(L/2)*sin(30) - F_{y}*L*sin(30) +...

So I think it figured it out, but it still seems strange. I took d\beta = R_{t}(\theta_{x},\theta_{y},\theta_{z}) - X^{'}X^{T}(XX^{T})^{-1} where \theta_{x}, \theta_{y}, \theta_{z} are updated at each iteration by \theta_{x,y,z} = \theta_{x,y,z} - d\theta_{x,y,z}, and it appears to be...

So I am realizing I think how I am calculating d\beta / d\ f is incorrect, as this should yield an equation that is a 3x3 matrix which is transformed into the 1x9 column vector. Can someone please explain how to find d\ f? I am assuming it has something to do with this equation A =...

Hello, So I was hoping to get some help implementing a nonlinear least squares fitting algorithm. Technically this is an extension of my previous thread, however the problem I am having now is correctly computing the algorithm So the problem definition is this: Given two sets of n 3D points...

I believe the first angle is 90°, not 45° as you originally thought. Thus the angles does indeed decrease to 70.5°

Thank you both for your responses. I think my part of my confusion is because I want the transformations to occur about the original coordinate system. Looking at the image from the wolfram site: The final transformation appears to be taken about the rotated coordinate systems z axis...

Hello, I'm sorry if this is a dumb question but I am extremely confused and could use some guidance. So consider a cartesian coordinate system with a plane which passes through the origin, and there are vectors of known X,Y,Z components which lie within this plane. The plane(and vectors) are...