Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 07 Feb 2018 My Price 9.00

spring mass system

We now wish to illustrate how several op amp circuits can be interconnected to solve a differential equation.

a) Derive the differential equation for the spring mass system shown in Fig. P8.65(a). Assume that the force exerted by the spring is directly proportional to the spring displacement, that the mass is constant, and that the frictional force is directly proportional to the velocity of the moving mass.

b) Rewrite the differential equation derived in (a) so that the highest order derivative is expressed as a function of all the other terms in the equation. Now assume that a voltage equal to  is available and by successive integrations generates  and x. We can synthesize the coefficients in the equations by scaling amplifiers, and we can combine the terms required to generate   by using a summing amplifier. With these ideas in mind, analyze the interconnection shown in Fig. P8.65(b). In particular, describe the purpose of each shaded area in the circuit and describe the signal at the points labeled B, C, D, E, and F, assuming the signal at A represents  Also discuss the parameters  in terms of the coefficients in the differential equation.

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Maurice Tutor
(5)
Status NEW Posted 07 Feb 2018 02:02 AM My Price 9.00

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