l0 - 3 Lab 0: Introduction This experiment will span one...

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3 Lab 0: Introduction This experiment will span one week. If possible look at the prelab assignment before coming to the lab. 3.1 Prelab 1. Plot y ( t ), generated by the following analog computer program. ± ± ± ² ² ² ± ²³ ´µ ±± +10 y ( t ) 0 . 4 - 10 2. Consider a diFerential equation, d 3 y dt 3 +0 . 3 d 2 y dt 2 - 5 y =0 , with initial conditions, y (0) = - 1 , ˙ y (0) = 0 , and ¨ y (0) = 10 . Draw an integrator block diagram and an analog computer program for this equation. 3. Assume that the diFerential equation of the previous problem is forced with an input u , d 3 y dt 3 . 3 d 2 y dt 2 - 5 y = u. Calculate the transfer function of this system and draw an analog com- puter program to simulate the system. Modify the program so that it simulates the system, d 3 y dt 3 . 3 d 2 y dt 2 - 5 y = u . u. 21
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4. Consider the diferential equation, ¨ x + 2 ˙ x + αx =0 , where x (0) = 20, ˙ x (0) = 0, and α is an unknown gain, such that 20 α 40. Estimate the maximum variable values as a Function oF α . Draw a scaled analog diagram that will work For any α in the range given. 5. Consider a system described by the transFer Function
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l0 - 3 Lab 0: Introduction This experiment will span one...

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