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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.
The data of the table below give details of the components, prices and standard quantities used in making a kind of chemical. Measure the composite index with 2007 as base year us
a wire of 3mm diameter and 5 m long has a load of 100g suddenly applied to its ends. calculate stress and extension produced. also show that these are twice the static values
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
A young couple requires RM30000 for an overseas trip which they want to make in six years time. How much they have to invest now at 18% p.a. compound interest compounded monthly, t
y''(x)=2*10^-6*y(x)(100000-y(x))
A new gantry crane for a metal fabrication shop is to be designed. The designer has proposed the following two different configurations: A. Using only truss elements B. Using the
definition of trigonometric function #Minimum 100 words accepted#
How to solve the problems
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I. The inventory of records of BeBop Distributing reflected the following for October 2012: Date Transaction Units
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