Sites for Teaching Newton's Laws, Introductory Forces, and Uniform Circular Motion: Visualizing Inclined Planes, Banked Roads, and Newton's Third Law, http://physicsed.buffalostate.edu/pubs/TPT/TPTApr01WallFlex/

2004 ◽  
Vol 42 (7) ◽  
pp. 447-447
Author(s):  
Dan MacIsaac
Keyword(s):  
Circular Motion ◽  
Third Law ◽  
Newton’S Laws ◽  
Inclined Planes

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.

scholarly journals An Assessment of the Application of Bernoulli’s Theorem in the Generation of Lift Force

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Garv Shah ◽  
Aman Singhal ◽  
Raadnya Apte ◽  
Rushaad Dupetawalla
Keyword(s):  
Detailed Analysis ◽  
Real World ◽  
Lift Force ◽  
Aviation Industry ◽  
Conservation Of Energy ◽  
Conservation Of Momentum ◽  
Bernoulli’S Theorem ◽  
Third Law ◽  
Newton’S Laws ◽  
Aerodynamic Lift

In this paper, we will be performing a detailed analysis of the application of Bernoulli’s Theorem in aviation and aerodynamics. The aim of our experiment and consequently this paper is to verify the application of Bernoulli’s Theorem in the aviation industry. In the field of aerodynamics, Bernoulli’s Theorem has been specifically used in shaping the wings of an aircraft. Over the years, however there has been a significant controversy in the aviation industry regarding the generation of lift force, especially the applicability of Newton’s Third Law of Motion along with Bernoulli’s Theorem. The controversy seems to be due to a combined effect of Newton’s and Bernoulli’s theorems’ (e.g. ‘Equal Transit Time Theory’), which may be incorrectly applied in the real world. Further, it seems that people are over-simplifying the problem of aerodynamic lift leading to the dismissal of either one of the theorems, when in reality both the theorems seem to be at play, as explained in this paper. For the generation of lift in air, momentum, mass and energy need to be conserved. Newton’s laws take into account the conservation of momentum, whereas Bernoulli’s Theorem considers the conservation of energy. Hence, they are both relevant for the generation of lift in air. However, no one has been able to determine accurately the working of both these theorems in the process of providing lift to an aircraft. Through this research paper, we have been able to prove the effect of Bernoulli’s Theorem in generating lift in air.

Unification of Newton's laws of motion

2003 ◽  
Vol 81 (5) ◽  
pp. 713-735
Author(s):  
A F Antippa
Keyword(s):  
Second Law ◽  
Mass Scaling ◽  
Self Energy ◽  
The Third ◽  
Inertial Frames ◽  
Third Law ◽  
Newton’S Laws ◽  
Laws Of Motion

Newton's three laws of motion are unified into one law (a slightly modified second law), valid in generalized inertial frames (defined by a slightly modified first law), invariant under mass scaling (guaranteed by the third law), and having important implications for the concept of force and the problem of self-energy. PACS Nos.: 45.20.Dd, 45.50.Jf, 45.05.+x

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