A new method for verifying the law of conservation of angular momentum

2012 ◽  
Vol 33 (6) ◽  
pp. 1813-1820
Author(s):  
Feng-Qin Zhou ◽  
Zeng-Mei Yang
Keyword(s):  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan

This chapter defines the conserved quantities associated with an isolated dynamical system, that is, the quantities which remain constant during the motion of the system. The law of momentum conservation follows directly from Newton’s third law. The superposition principle for forces allows Newton’s law of motion for a body Pa acted on by other bodies Pa′ in an inertial Cartesian frame S. The law of angular momentum conservation holds if the forces acting on the elements of the system depend only on the separation of the elements. Finally, the conservation of total energy requires in addition that the forces be derivable from a potential.


2017 ◽  
Vol 26 (11) ◽  
pp. 114207 ◽  
Author(s):  
Xiao-zhou Cui ◽  
Xiao-li Yin ◽  
Huan Chang ◽  
Zhi-chao Zhang ◽  
Yong-jun Wang ◽  
...  

1967 ◽  
Vol 24 (1) ◽  
pp. 143-150 ◽  
Author(s):  
Yoshihisa Tanaka ◽  
Kazuo Nakatani

The law of categorical judgment was applied to data on subjective weight in order to eliminate the possible biases. Conditions D, C, and a new approximation method were used. Stimuli were two series of plastic cylinders weighing 40 to 200 gm. The results indicate that linearity in the relationship between scale values R and stimulus values S increases as the number of assumptions decreases. When Scheffé's method is used, the relationship can be given by R = 2.5 S − 3.1, which is similar to that obtained by the new method of the law of categorical judgment.


2011 ◽  
Vol 314-316 ◽  
pp. 2348-2352
Author(s):  
Er Bao ◽  
Xue Ye Ang ◽  
De Yong Liu

A new method of shaking moment balancing of force balanced linkages is presented in this paper. The shaking moment balancing is gained based on the angular momentum principle. The method of synthesizing a dyad to balance the shaking moments is given, two kinds of structure types are calculated, all the maximum absolute values of the shaking moments are decreased by more than 75 % and the f1uctuation values of those are reduced by more than 68 %.


Legal Studies ◽  
2014 ◽  
Vol 34 (4) ◽  
pp. 537-559
Author(s):  
JJ Child

This paper explores the role of ulterior intention (and ulterior mens rea more generally) within the criminal law. Divided into three sections, we first question the role and location of ulterior mens rea within the offence elements of acts, circumstances and results. Concluding that such accommodation is conceptually unsound, we highlight the problems this has caused in the context of inchoate liability, where the separation of elements is now essential to the application of the law. Central to this discussion is the problematic attempts case of AG Ref (No. 3 of 1992) [1994] 1 WLR 409. We contend that best way forward is to recognise a new ulterior mens rea element. Such an element has the potential to maintain conceptual coherence between offence elements and resolve substantive problems arising in the context of inchoate liability, as well as creating a new method for limiting inchoate liability (and infinite inchoate liability) from the potential for over-criminalisation.


Author(s):  
Cemil Bagci

Abstract Presently used balancing methods for multicylinder engines and pumps are for partial balancing. As a result the complete shaking force, shaking torque, and shaking moment balancings of engines require the use of harmonic force and harmonic torque and moment balancers. This article presents a new method for complete shaking force and shaking moment balancing of multicylinder engines that requires no harmonic balancers. This is achieved by keeping the total center of mass of each slider crank loop stationary, where the design equations are developed using a linearly independent mass vector method. Balancing the shaking force also balances the shaking moment. Shaking torque is balanced by eliminating the angular momentum of each mechanism loop and by arranging the phase angles of the crank throws. Four-, six-, and eight-cylinder engines are balanced in the numerical examples given. Two methods of completely balancing single-cylinder engines are also given.


2014 ◽  
Vol 26 (6) ◽  
pp. 685-690 ◽  
Author(s):  
Takashi Kawamura ◽  
Keyword(s):  
The Self ◽  
The Law ◽  

<div class=""abs_img""><img src=""[disp_template_path]/JRM/abst-image/00260006/02.jpg"" width=""250"" /> Cat-turn by cat and robotic cat</div> The movement of live cat righting itself in midair, is investigated analytically and experimentally. The objective of the author is to develop a robot that lands upright on its feet like a cat. Interestingly, explanations in physics and dynamics textbooks that dealing with feline the self-righting remain contradictory and ambiguous. This is analyzed based on the law of conservation of angular momentum using a cat model. A robotic cat was then developed to turn in mid air. The robot righted itself completely after performing a 180° turn in the air. </span>


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