Sites for Teaching Newton's Laws, Introductory Forces, and Uniform Circular Motion: Tutorials and Simulations for Free-Body Diagrams, http://www.glenbrook.k12.il.us/gbssci/phys/shwave/fbd.html

2004 ◽  
Vol 42 (7) ◽  
pp. 447-447
Author(s):  
Dan MacIsaac
Keyword(s):  
Circular Motion ◽  
Newton’S Laws ◽  
Free Body

Motion of a circular cylinder on a smooth surface

2009 ◽  
Vol 87 (6) ◽  
pp. 607-614 ◽  
Author(s):  
Mark R.A. Shegelski ◽  
Ian Kellett ◽  
Hal Friesen ◽  
Crystal Lind
Keyword(s):  
Circular Cylinder ◽  
Undergraduate Students ◽  
Smooth Surface ◽  
Equations Of Motion ◽  
Static Friction ◽  
Circular Motion ◽  
Pedagogical Treatment ◽  
Newton’S Laws ◽  
Made In

We present a pedagogical treatment of a circular cylinder moving over a smooth surface with one point of the cylinder making contact with the surface. We derive the equations of motion using Newton’s laws. The simplicity of this approach makes the results easily within reach of undergraduate students. A careful derivation of the equations is presented first, and then we show how easily one could make an error. We illustrate how instructors could use this calculation to teach students how to detect errors and critically examine assumptions, including those that seem beyond question. Circular motion with no slipping is examined and we demonstrate the extent of possible motions for static friction. Some calculations are listed that instructors can assign to students to teach the points made in this paper.

Method for Estimating Speed of the Out-of-Control Tractor-Semitrailer on Downhill Grades

2021 ◽  
pp. 036119812110242
Author(s):  
Menghua Yan ◽  
Jinliang Xu ◽  
Shuo Han ◽  
Yaping Dong ◽  
Leyu Wei
Keyword(s):  
Traffic Safety ◽  
Rolling Resistance ◽  
Road Surface ◽  
Independent Variables ◽  
Free Body Diagram ◽  
Newton’S Laws ◽  
Laws Of Motion ◽  
Free Body ◽  
Safety Features ◽  
Truck Weight

Speed estimation for the out-of-control truck on a downhill grade is essential for passive safety features like truck escape ramps to promote traffic safety. This paper presents a method for estimating the speed of out-of-control trucks based on Newton’s Laws of Motion. First of all, we analyze gravity effort, aerodynamics, and rolling resistance through a free body diagram of an out-of-control truck on a downhill grade. Further, we select the speed as the dependent variable, with the following road and vehicle characteristics as independent variables: road surface type, grade, grade length, truck size, truck weight, and tire type. Finally, we estimate the speed and acceleration according to Newton’s Laws of Motion. The results show that the factors that significantly affect the out-of-control truck’s speed include tire type, road surface coefficient, grade, and grade length. TruckMaker simulation results demonstrate that the model is valid at a 99% confidence level.

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