Assume a Spherical Chicken: Analytic Constraints, Inertia Tensor Information, and Wielded Rod Length Perception

2019 ◽  
Vol 51 (6) ◽  
pp. 698-714 ◽  
Author(s):  
Patrick A. Cabe
Author(s):  
Matthew Stroop ◽  
M. T. Turvey ◽  
Paula Fitzpatrick ◽  
Claudia Carello

2009 ◽  
Vol 74 (2) ◽  
pp. 196-206 ◽  
Author(s):  
Pom Charras ◽  
Juan Lupiáñez
Keyword(s):  

1976 ◽  
Vol 7 (1) ◽  
pp. 63-64 ◽  
Author(s):  
W. H. Tedford ◽  
C. F. Gray

Author(s):  
J. Angeles ◽  
M. J. Al-Daccak

Abstract The subject of this paper is the computation of the first three moments of bounded regions imbedded in the three-dimensional Euclidean space. The method adopted here is based upon a repeated application of Gauss’s Divergence Theorem to reduce the computation of the said moments — volume, vector first moment and inertia tensor — to line integration. Explicit, readily implementable formulae are developed to evaluate the said moments for arbitrary solids, given their piecewise-linearly approximated boundary. An example is included that illustrates the applicability of the formulae.


2022 ◽  
Author(s):  
John C. Helmuth ◽  
Kyle J. DeMars
Keyword(s):  

Author(s):  
R.P. Simonyants ◽  
N.A. Alekhin ◽  
V.A. Tarasov

A simplified model of a transformable spacecraft is considered, including a rod-type transformation mechanism with movable weights. The mechanism can be used to adapt the dynamic properties of the spacecraft to the environment or the operating conditions of on-board systems, for example, to counter the moments of external disturbances during attitude control and angular stabilization. By changing the position of the transformation mechanism, the spacecraft inertia tensor can be put in diagonal form, which makes it possible to exclude the force interconnections between the channels and to eliminate the constant component of the gravitational moment. For a simplified model of the transformation mechanism, we establish the analytical dependence of the components of the inertia tensor on the parameters determining the position of the transformation mechanism. It is shown that by adjusting the moving mass, which is 0.5% of the entire spacecraft mass, we obtain the spacecraft configuration that ensures the diagonality of the inertia tensor.


Vision ◽  
2019 ◽  
Vol 3 (4) ◽  
pp. 57 ◽  
Author(s):  
Pia Hauck ◽  
Heiko Hecht

Sound by itself can be a reliable source of information about an object’s size. For instance, we are able to estimate the size of objects merely on the basis of the sound they make when falling on the floor. Moreover, loudness and pitch are crossmodally linked to size. We investigated if sound has an effect on size estimation even in the presence of visual information, that is if the manipulation of the sound produced by a falling object influences visual length estimation. Participants watched videos of wooden dowels hitting a hard floor and estimated their lengths. Sound was manipulated by (A) increasing (decreasing) overall sound pressure level, (B) swapping sounds among the different dowel lengths, and (C) increasing (decreasing) pitch. Results showed that dowels were perceived to be longer with increased sound pressure level (SPL), but there was no effect of swapped sounds or pitch manipulation. However, in a sound-only-condition, main effects of length and pitch manipulation were found. We conclude that we are able to perceive subtle differences in the acoustic properties of impact sounds and use them to deduce object size when visual cues are eliminated. In contrast, when visual cues are available, only loudness is potent enough to exercise a crossmodal influence on length perception.


Author(s):  
Christopher C. Pagano ◽  
J. M. Kinsella-Shaw ◽  
Paul E. Cassidy ◽  
M. T. Turvey
Keyword(s):  

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