Recent content by astronomophosis

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    Common Mistakes in Hologram Recording and Processing: Avoiding Poor Results

    I would just like to know three mistakes students might make in recording and processing their holograms that would result in a poor or nonexistent hologram and please explain why? Thank you very much to those who reply in advanced!
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    Proving Linear Algebra Concepts: Rank, RREF, Invertibility, and Dependency

    1) Find two matrices A and B where Rank [AB]≠Rank(BA) 2) Find a matrix A where Rref(A)≠Rref(A^T) where T is the transpose 3) Find X given that B is invertible if BXB^-1 –A=I_n (identity matrix) 4) Prove that [Ab_1 Ab_2 Ab_3] is linearly dependent given that {b1 b2 b3} is linearly...
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    How to Determine the Lagrangian and Equations of Motion for Given Systems?

    Problem 1: A heavy ring of mass M can slide on a frictionless rod. The rod is attached to a wall at one end with a bracket and the other end hangs downward, so the angle between the rod and the wall is α. One end of a massless spring of constant k is attached to the bracket and the other end...
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    Force as a Function of Velocity (Lorentz Force)

    A singly charged lithium ion is accelerated by an electric field E=10i V/m applied between two plates ten centimeters apart. After passing through a small hole in the negative plate, the ion enters a region of space where there is a magnetic field B=5j mT. The ion moves in a circular path. What...
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