Recent content by TheJCBand

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    What is the difference between matched and unmatched uncertainties?

    Can anyone elaborate on this? I'd like an explanation in layman's terms.
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    Why is this not a perpetual motion machine?

    So a friend of mine posted this picture on my facebook wall. I assume there is some kind of inside joke involved that I'm not on the inside of. Anyways, I can't see any reason why this setup is impossible.
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    What is the difference between matched and unmatched uncertainties?

    I'm beginning to study control theory, and I keep reading about matched and unmatched uncertainties in the literature, but I have yet to find the definitions of matched and unmatched. Could someone explain it to me? Thanks.
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    Solving a non-homogeneous ODE with Bessel functions?

    Hi, I posted this on the homework forum, but I haven't gotten any responses there. I thought there might be a better chance here. 1. Homework Statement I have the ODE h'' + h'/r + λ2h = 1, where h = h(r), and I want to find h(r). 2. Homework Equations The corresponding...
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    Equation of motion for MDOF system

    Start by defining a coordinate for each degree of freedom. Then draw the free body diagram for each of the masses. Then, write Newton's second law for each of those masses. That should get you started.
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    Principle Stresses in Cantalever beams

    Principle stresses can be found easily using Mohr's circle. You can read about it in a mechanics of materials textbook. Basically, Mohr's circle is a plot of all the shear and normal stresses in all planes of an element, and the angle on the circle is related to the angle of the plane.
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    How to Calculate Relative Motion with Given Positions and Velocities?

    Being on the same link means that the distances between these points is fixed. This gives you two more independent equations: (x1 - x2)2 + (y1 - y2)2 = (some constant), (x1 - x3)2 + (y1 - y3)2 = (some other constant).
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    Troubleshooting MathCAD: Rotation of Body Vector About an Axis

    I figured out the problem. My function R used indexes of the vector u, and the first index is 0 in MathCAD, and I using 1, so there was a u3 in the function, which didn't exist.
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    How to Calculate Relative Motion with Given Positions and Velocities?

    Yeah, it looks like you're missing at least one piece of information about Z3.
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    Solving a non-homogeneous ODE using Bessel functions?

    Homework Statement I have the ODE h'' + h'/r + λ2h = 1, where h = h(r), and I want to find h(r). Homework Equations The corresponding homogeneous equation is a Bessel equation that has the solution hh = c1J0(λr) + c2Y0(λr), where J0 and Y0 are Bessel functions. Now I was planning on using...
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    Troubleshooting MathCAD: Rotation of Body Vector About an Axis

    I'm not sure if this is the right place for this question, but I didn't see a forum specifically about software. I'm trying to define a function in MathCAD that describes the rotation of a body vector about an axis u by an angle ɸ. What I've typed in is: R(ɸ,u):= [ 3x3 matrix where each...
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