Tópicos em teoria das perturbações cosmológicas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

História da ciência no ensino de Física: um estudo sobre o ensino de atração gravitacional desenvolvido com futuros professores

We report here some outcomes of a research related to a didactical experience aiming to integrate the History of Science to the Physics Teaching, taking as background the historical development of the gravitational attraction. The research, of qualitative approach, is a case study and it was carried out in a sample of eleven students belonging to an undergraduate physics program (called licenciatura in Brazil) designed to from High School physics teachers in a São Paulo State Public University. We tried initially to reveal prospective teachers’ conceptions in order to provide a prepare that was used to guide the activities from the reality’s diagnosis. The aim was to promote discussions on the existence and persistence of alternative conceptions, on the historical evolution of the subject gravitational attraction, through readings and debates of texts contemplating recent subjects on the Science Education research, in order to generate dissatisfaction with traditional teaching models. The future High School physics teachers were asked to construct their own teaching proposal, through the development, in real situations, in a High School, of a minicourse based on: debates and synthesis developed in University classroom, the History of the Science and the student’s alternative conceptions. In this paper we will analyze future teachers’ alternative conceptions, the development of the course proposed, and details of the mini-courses taught by the prospective teachers in real situations, among High School students, its coherence and the posture changes observed in them.

Complex modal analysis of a vertical rotor through finite element method

Natural frequencies were analyzed (axial, torsional and flexural) and frequency response of a vertical rotor with a hard disk at the edge through the classical and complex modal analysis. The mathematical modeling was based on the theory of Euler-Bernoulli beam. The equation that rules the movement was obtained through the Lagrangian formulation. The model considered the effects of bending, torsion and axial deformation of the shaft, besides the gravitational and gyroscopic effects. The finite element method was used to discretize the structure into hollow cylindrical elements with 12 degrees of freedom. Mass, stiffness and gyroscopic matrices were explained consistently. This type of tool, based on the use of complex coordinates to describe the dynamic behavior of rotating shaft, allows the decomposition of the system in two submodes, backward and forward. Thus, it is possible to clearly visualize that the orbit and direction of the precessional motion around the line of the rotating shaft is not deformed. A finite element program was developed using Matlab ®, and numerical simulations were performed to validate this model.

Caracterização petrográfica estrutural e metamorfica das rochas da região de Indiara (GO)

The region Indiara (GO) is located in southwestern of São Francisco Craton in the Internal Zone of the Brasília Belt, western part of the Tocantins Province. In this locality outcrop rocks of the Goiás Magmatic Arc. These rocks are muscovite gneiss with biotite, muscovite-biotite gneiss, biotite gneiss with muscovite and garnet, biotite-muscovite gneiss, muscovite porfiroclastic gneiss, biotite porfiroclastic gneiss, muscovite-quartz schists, garnetquartz schists, and metamafic rock (hornblende schists) as metric or kilometric lenses. The gneisses have granodioritic composition, granoblastic texture, with some portions with lepidoblastic texture, constituting a discontinuous centimeter to millimeter banding; the structure is anisotropic, marked by the preferred orientation of all the minerals. These gneisses are leucocratic, generally are inequigranular and fine to medium grained. The hornblende schists have nematoblastic texture, are inequigranular and fine to medium grained and have anisotropic structure that is given by a foliation, marked by a strong preferential orientation of the crystals of amphibole and other minerals present in the rock. The gneisses of the area are composed of plagioclase (oligoclase/andesine), quartz, microcline, muscovite, biotite, epidote, apatite, zircon, garnet, kyanite, oxides and hydroxides of iron and opaque minerals. And the metamafic rocks of Indiara region are composed mainly of amphibole, plagioclase (oligoclase/andesine), quartz, titanite, biotite, allanite, garnet, oxides and hydroxides of iron, apatite, epidote, rutile, muscovite and opaque minerals. At least three phases of deformation were observed in the rocks of area of study (Dn-1, Dn and Dn +1). The Dn phase and represented by a well-marked foliation Sn having low dip angle (average dip of 20 °) and dip direction to SW (210/21) and to NE (18/20); the Dn-1 phase is represented by a compositional banding (Sn- 1), this banding is generally...

Rochas calciossilicáticas e feldspáticas na região de Castro Alves e Rafael Jambeiro (BA)

The towns of Castro Alves and Rafael Jambeiro, central-east of Bahia state, are located in the east of São Francisco Craton, in granulite terrains of Salvador-Curaçá Belt, formed in Paleoproterozoic. The region of study contains ortognaisses of Caraíba Complex, metamafic and metaultramafic rocks of São José do Jacuípe Suite, metasedimentary rocks of Tanque Novo-Ipirá Complex, granitoids, pegmatites and alkaline rocks. The study carried out regional and detailed geological mapping in addition to petrographical and geochemical characterization of six areas in the search for targets of feldspar and white diopside, minerals used in ceramic industry. The areas consist of granitic ortognaisses interspersed with lenses of mafic granulite rocks, calc-silicate rock, banded iron formations, paragnaisses, quartzites, and bodies of quartz-feldspar or feldspar pegmatites and alkaline rocks that fill discontinuities. The region of study contains four deformations phases, with a predominance of ductile structures. The foliation Sn has N30E to N70W direction, high angle of dip and is characterized by compositional banding of granoblastic and felsic bands interspersed with nematoblastic or lepidoblastic mafic bands. A mineral or stretching lineation Ln is associated with Sn and has trend of S55E to S72E. The rocks have been suffered a regional metamorphism with granulite facies peak and partial retrogression to greenschist facies. Geochemical studies indicate that the green coloring calc-silicate rocks have lower SiO2, MgO and higher Fe2O3 content compared with white calcssilicate rocks. The alkaline rocks of the studied area have higher Na2O, SiO2 and lower K2O, Fe2O3 content compared with others Paleoproterozoic alkaline rocks of Bahia state. The targets of diopside are associated with white calc-silicate rocks, while the targets of feldspar are associated with paragnaisses, pegmatites and alkaline rocks