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As with the first order system, there is a general differential equation that governs the response of a second order system. The equation is of the form:
Where:
So how is the second order differential equation for the spring mass damper generated?
Well, if an input is applied to the mass, the equation of motion for the system can be written as:
The general equation for a second order system can be manipulated to give the equation above and vice versa.
Performing the numerical integration for the second order system
The second order equation order is dealt with by rewriting the equation as pair of first order equations. The numerical integration can be performed in a similar way to the first order system where:
Of course as all the hardware information is available or selected by the engineer, the value for (d2y/dz2) can be calculated by manipulating the equation of motion.
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application of mathematics in engineering
The following are 8 data points that shows the relationship between the number of fishermen and the amount of fish they can catch a day. (Let the number of fishermen be X and the a
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I have some work in Mupad i need doing. Its on Diff equations. Canb you guys help?
HELP ME
a.) Give a short sequence of machine instructions for the task " Add the contents of memory location A to those of memory location B, and place the answer in location C ". You have
What, to 3 decimal places, is the principal value of [a - ic] (b + id)/10 (real and imaginary parts)? Call the real part, and the imaginary part. Give one (any) other value of th
What is the characteristics of divison
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