Recent content by blackbody

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    Finding Normal Modes in Coupled Oscillations

    1st equation: -A_{1}w^2\cos{wt} = -w_{0}^2A_{1}\cos{wt} + w_{0}^2(A_{2}\cos{wt} - A_{1}\cos{wt}) cosines factor out, collect like terms, etc...then I get: A_{1}(2w_{0}^2 - w^2) + A_{2}(-w_{0} = 0 2nd equation: -A_{2}w^2\cos{wt} = -w_{0}^2(A_{2}\cos{wt} - A_{1}\cos{wt}) cosines factor...
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    Finding Normal Modes in Coupled Oscillations

    Hi guys, I'm stuck on a problem that states: Two equal masses oscillate in the vertical direction. Show that the frequences of the normal modes of oscillation are given by: \omega^2 = (3 +- \sqrt{5})\frac{s}{2m} and that in the slower mode the ratio of the amplitude of the upper mass to...
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    How Do Mechanics and Statics Problems Calculate Movement and Force?

    Thanks, that helped, and ideas for problem 2?
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    How Do Mechanics and Statics Problems Calculate Movement and Force?

    Hi, I just want to verify that my thought process for these problems is valid, any help would be appreciated. (I have pictures attached for each problem for clarity) 1) You have mass1 attached to a spring with a certain spring constant k, it rests on a tabletop with a force of friction...
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    How Do You Calculate Oscillation Periods and Forces on a Dam?

    Hi, I have a couple general (pretty much abstract) mechanics questions, and I'm not sure I'm going the right way about doing them. Any help would be appreciated. 1)On a flat surface with friction, you have a massless spring with a spring constant (k) attached to a wall on one end, and on the...
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