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assignment6

# assignment6 - Math 201 Assignment 6 Due Nov 8 in tutorial 1...

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Math 201 Assignment # 6 Due: Nov. 8 in tutorial 1. A 1 kg mass is suspended from a spring with a spring constant of k = 5 N/m. The surrounding medium o ff ers a damping force equal to 2 times the velocity. At time t = 0 s, the mass is released from a position 1 m below equilibrium with a downward velocity of 2 m/s. At the same time, a source is switched on which drives the spring with a force f ( t ) = 3 cos 2 t + 5 sin 2 t . (a) Set up a di ff erential equation modelling the position of the mass, including initial conditions. (b) Solve the IVP in (a) to obtain the equations of motion. (c) As
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