Excel as Tool for Modeling , Dynamic Simulation and Visualization ofMechanical Motion
One of the most important tasks in teaching of mechanics is to use a suitable method for developing of theoreticallyacquired knowledge. Drawing on her own experience, the author has found that the best method to be used is the system approach.System approach is closely connected to the modeling,computer simulation and dynamic visualization. Theory of the systems, modeling and computer simulation are disciplines with its own theory and research methodology. Modeling and computer simulation (M&S) can be understand as one of the most important method in teaching of mathematics and simultaneously can be use as suitable method for practical developing of theoretically acquired knowledge. Case study, described in the paper, presentspossibility of dynamic visualization of mechanical motion – trajectory of ballistic shot. The solution is demonstrated in MS Excel worksheet and chart. Key-Words:Animation, computer simulation, mathematical modeling, system approach, visualization.
Modeling and Computer Simulation of Static , Dynamic and Feedback Systems as Tool of Development of Logical Thinking
Many universities are realizing that modeling and simulation is becoming an important tool in finding the strategy for solving and understanding numerous and diverse problems. The paper introduces the theory of modeling and simulation as one of the possible method in the education. The theory is followed by three case studies illustrating step by step process of development of modeling and computer simulation. The first two cases studies will present possibility of simulation of static and dynamic systems in MS Excel worksheet and chart. The third case study presents creation of simulation model of the feedback regulated process – passing through the labyrinth. Keywords—Dynamic System, Feedback System, Modeling and Simulation, Static System.
The Illinois Legislature
It further provides that the county must have voted "for license" at the last general election on that subject. Also, that the petition, together with all names and addresses on it, must first be published in at least two issues of some newspaper published in the town where the petition was circulated, for at least ten days before the petition is acted upon. Any officer authorized to issue licenses violating the provisions of this act is liable to a fine of from $500 to $1000 and imprisonment in the county jail for from two to twelve months. The act does not repeal any local laws forbidding the sale of liquor, but is cumulative to all anti-liquor laws now in force. The final section is: "This Act being necessary for the public peace, health, and safety, shall take effect and be in force from and after December 31, 1913." The postponement of the time for going into effect was made io order not to interfere with licenses already issued and to give the liquor dealers time to adjust themselves to the provisions of the act. But the liquor people denied that the emergency clause could be attached to an act the operation of which was postponed nearly a year. They called attention to the omission of the word "immediate," and declared that the postponement was in itself sufficient evidence that it was not necessary for the "immmediate preservation of the public health, peace and safety." A petition for reference was circulated and the necessary number of signatures was secured. The attorney-general was first asked for his opinion as to whether the act was subject to the referendum. That officer stated that he could find no precedent for such a case. Basing his decision on reason and common sense he declared the act not subject to the referendum. The circuit court was then asked for a write of mandamus against the secretary of state to compel him to submit the act, but the court refused to grant it, saying that the attachment of the emergency clause was evidence that the legislature intended to prevent its submission. At this writing the question is pending on appeal before the supreme court.