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Unformatted text preview: proximated by a cosine function with 20m separating the peaks. With what speed is the van travelling when resonance occurs between the bumps and the suspension? 2. A block of mass 2 kg is attached to a spring of strength 2000 N m-1 . The block is subject to a driving force 36 cos( t ) N. Given that the spring will break if it is extended more than 3 cm past its equilibrium position, nd the range of frequencies that can safely be applied. 3. For the two-dimensional simple harmonic oscillator with equations of motion x ( t ) = cos( x t- ) y ( t ) = cos( y t- ) Plot Lissajous curves (the paths of motion in x-y space) for the following cases: (a) x = 1, y = 2, and = / 5 and = 0. (b) x = 5, y = 4, and = and = / 2. (c) x = 10, y = 11, and = / 2 and = . (d) x = , y = 1, and = 0 and = 0. What is dierent about this case? 1...
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This note was uploaded on 09/20/2010 for the course AMATH 261 taught by Professor Rogermelko during the Spring '10 term at Waterloo.
- Spring '10