# SolSec1.9 - Problems and Solutions Section 1.9(1.83 through...

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Problems and Solutions Section 1.9 (1.83 through 1.90) 1.83* Reproduce Figure 1.37 for the various time steps indicated. Solution: The code is given here in Mathcad, which can be run repeatedly with different t to see the importance of step size. Matlab and Mathematica can also be used to show this.

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1.84* Use numerical integration to solve the system of Example 1.7.3 with m = 1361 kg, k = 2.688 x 10 5 N/m, c = 3.81 x 10 3 kg/s subject to the initial conditions x (0) = 0 and v (0) = 0.01 mm/s. Compare your result using numerical integration to just plotting the analytical solution (using the appropriate formula from Section 1.3) by plotting both on the same graph. Solution: The solution is shown here in Mathcad using an Euler integration. This can also been done in the other codes or the Toolbox:
1.85* Consider again the damped system of Problem 1.84 and design a damper such that the oscillation dies out after 2 seconds. There are at least two ways to do this. Here it is intended to solve for the response numerically, following Examples 1.9.2, 1.9.3 or 1.9.4,

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SolSec1.9 - Problems and Solutions Section 1.9(1.83 through...

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