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Q. For the mechanical spring-mass-friction system shown in Figure, the differential equation relating the force F(t) and the velocity u(t) is given by
where M is themass,Dis the friction, and Cm is the compliance (reciprocal of stiffness) of the spring. For M = 20 kg, D = 4 kg/s, and Cm = 8 N/m,
develop an electric equivalent network (a) using the force-current analog, and (b) using the force- voltage analog, and find u(t) for F(t) = 40e-t/4 N.
This is at the heart of the analysis of electromagnetics. It is based on a series of experiments conducted by the French scientist Ampere (1775 - 1836), in which the force between
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