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Register a new userFinding the equilibrium centers in the gravitational fields of some material curves
إيجاد مراكز التوازن في حقول جاذبية بعض المنحنيات المادية
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خالد العبدالله( باحث )
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ندرس في هذا البحث حقل الجاذبية الذي يولده نوع خاص من المنحنيات المادية المتجانسة، ندعوها بالمنحنيات المحيطة. الصفة المميزة لهذه المنحنيات هي ارتباط كل منها بدائرة و احاطته بها، أو بقوسٍ منها، وفق معناً محدد. يتكون المنحني المحيطي من أقواس دائرة، و قطع مستقيمة حواملها تمس تلك الدائرة. في الحالة الخاصة التي يكون فيها هذا المنحني مضلعاً، تكون أضلاعه محمولة على مماسات لتلك الدائرة. ندعو المضلع في هذه الحالة بمضلع محيط. تبين الدراسة أن مركز الدائرة التي يحيط بها منحني مادي متجانس هو مركز توازن في حقل جاذبية ذلك المنحني.
In the paper, we study gravitational field generated by a special type of homogeneous material curves that are denoted circumscribed curves. Characteristic state of these curves is the linking of each one of them to a circle, and the circumscribing of him around the circle, or an arc of him, according to a precise meaning. The circumscribed curve consists of arcs of a circle, and straight segments, their right supports are tangents to the circle. In special case, where this curve is a polygon, the sides are tangents to a circle. In this case, we call the polygon, circumscribed polygon. The study shows that the center of the circle, around it, a homogeneous material curve circumscribed, is an equilibrium center.
References used
WESTFALL Richard, « Newton », Figures de la science, Flammarion, Paris, 1994
Galileo Galilei, Dialogue sur les deux grands systèmes du monde, Paris, Seuil, 1992
K. Abdullah, Propriétés du système séculaire, thèse de doctorat de l'Observatoire de Paris, Paris 2001
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In this paper, we study the gravitational field generated by a
straight material segment around itself. At first we discuss the
calculation of the field, outside the support of the segment, and on
this support, then we discuss the self field. We a
lso study values of
this field in special points.
We also study the field generated by a set of segments,, where we
interest in the value of this field in the common special points, and show
the cases where this field is finite, or infinite. We provide a set of
properties concerning the components of this field.
We also discussed the concept of falling on the material segment, where
we define the particular type of motion which we call successive motion,
and we show its conditions. This motion really present a falling on the
material segment.
In this search, we study the gravitational field engendered by a
material segment around itself. In the beginning, we discuss the
concept of the gravitational field generated by arbitrary curve. It turns out
that this field depends on the concept
of linear mass, and is directly relate to the distance of the position, to which we calculate the field from the tangents of curve, and not from the curve itself.
Material segment is a special case of material curves, and characterized by the confusability of all its tangents, that allow simplify the calculations, and find a simplified formula of the field. We end our research by comparing the field of material segment, with a field of appropriate circular arc.
Contrary to what it is expected, it appear in the end that the field of material segment is inversely proportional to the distance from that segment, and not to the square of distance
In this paper, we study the gravitational field generated by a
material straight line around itself. We show the simplicity of the
studied field, and we show its relation with the arc of half circle. We
discussed also the subject of attracting two
spacious straight lines,
and we show the absence of relation between the mutual force and
the distance.
Also we study the field generated by a ray, where we present the
different formulas for this field, and we show its geometrics
properties, and its relation to a circular arc sees through it.
Also studied the previous field lines, and we show that it are
parabolas, and we appear by different ways that the equivalent
surfaces are parabolic surfaces of revolution.
This research aims to find out the impact of some internal factors such as the
environment and appropriate and its role in increasing the turnout of shoppers on shopping
centers in the Syrian Coast, thus find out the extent of influenced of demand
for shopping
centers by these two factors.
Research primary information were collected through a questionnaire was distributed
to an appropriate sample of shopping centers attendees, the data were analyzed by the
SPSS statistical program. After the study and analyze the research reached to some of the
important results:
1- There is a clear Correlation between the clean and comfortable shopping
center environment and also good convenience on the one hand and increasing turnout for
shopping centers in the Syrian coast on the other hand.
2- The research confirmed that there is a shortening of attention to aspects of
the environment and appropriate in the shopping centers located in the Syrian Coast.
3- The research found some observations as well such as lack adequate and
varied restaurants in shopping centers, and lot of shoppers they don’t consider the studied
shopping centers as a major shopping destination.
We try in this research to focus on the void that is created by
the absence of proper materials management on construction sites.
To managing a productive and cost in the site, an efficient material
management is very essential.
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