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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.
analyn bought a dining set.She paid 2500 as a downpayment and promised to pay 800 @ the end of each month for year.What s the cash eqivalent of the set if the interest rate is 10%
after solving the difference equation using z transform, how to find the inverse z transform for the answer
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
y''=2xy/x^2-y^2
In an article in Marketing Science , Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume
P=(Fv- ? Av3) (1-e-µ?) P is Power v is velocity of the belt ? is the density of the belt material ? = 1200 kg/m3 A is the cross sectional a
From this point on it is assumed that any problem amenable to solution with the aid of the Discrete Fourier Transform (or DFT) will in fact be treated computationally with a fast r
The number ways of choosing 2 boys and 2 girls in a class for a game of mixed doubles is 1620. Then, what is the number of ways of choosing 2 students in the class?
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
Valid objective function for a LPP with x,y,z as decision variables
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