Point-connected rigid bodies in a topological tree

Identical equations of motion are shown to emerge for a system ofn+1 rigid bodies all interconnected byn points, each of which is common to two bodies, by means of each of the following derivation procedures, all of which employ a kinematical identity developed by Hooker and Margulies: The Hooker-Margulies/Hooker equations; Kane's quasicoordinate formulation of D'Alembert's principle; the combination of Lagrange's generalized coordinate equations and Lagrange's quasicoordinate equations; and the combination of Lagrange's generalized coordinate equations and the vector rotational equationM=H applied to the total system and resolved into a vector basis fixed in a reference body of the system. Thus the previously published Hooker-Margulies/Hooker equations are shown to be the natural result of several derivation procedures other than the Newton-Euler method originally used, provided that the central kinematical identity of the original derivation of Hooker and Margulies is employed.     

The RGS, exploration and Empire and the contested nature of surveying

In 1879, the RGS started courses in practical surveying based on the methods used by navigators. Subsequently, RGS courses, increasingly under the influence of former members of the Survey of India, changed in character. At the same time as the nature of appropriate surveying was being negotiated within the RGS, the debate over the academic nature of geography also took shape. The development of the 'new' geography reflected the conflicts within the RGS Council over the meaning of scientific geography.     

Changing Rural Spaces: Deregulation and the decline of tobacco farming in the Mareeba-Dimbulah Irrigation Area,Far North Queensland

The growing of tobacco was one of the most tightly regulated industries in Australia, until deregulation in 1995. Commonwealth regulations controlled the area cultivated with tobacco, the number of growers (i.e. quota holders) and marketing arrangements for tobacco leaf. This paper begins by outlining the nature and historical development of controls in the tobacco-growing industry, and discusses how the Commonwealth government removed the industry's regulatory and protective framework in 1995. The third part of the paper examines how deregulation has impacted upon the Mareeba-Dimbulah Irrigation Area, Far North Queensland, where small farmers produced 60 per cent of Australia's tobacco in 1995. The discussion will show that the agricultural landscape once dominated by tobacco has been transformed, as local farmers abandoned growing tobacco in favour of sugar cane, avocadoes, mangoes, macadamia nuts and other small vegetable crops (e.g. navy beans, pumpkins). Tobacco, once promoted by the Queensland government as a crop to facilitate closer settlement in the Mareeba-Dimbulah Irrigation Area, will have almost vanished from the landscape by 2002.     

Feature Environmental geophysics: a site characterization tool for urban regeneration in the post-mining era

The closure and decay of industrial activity involving mining, chemical or light industrial operations has scarred the landscape of urban areas. The Government has major initiatives in urban regeneration to remediate these 'brown-field sites'.     

Distribution and morphology of sinkholes triggered by flooding following Tropical Storm Alberto at Albany, Georgia, USA

Flooding of the Flint River in July 1994 triggered the collapse of at least 312 sinkholes in the karstic Dougherty Plain at Albany, Georgia. We examined the distribution and morphology of these new sinkholes to evaluate the mode of formation, to characterize early stages of the evolution of sinkhole form, and to estimate the lowering of the surface associated with the development of new sinkholes.Eighty-eight percent of sinkholes occur inside the limits of flooding, especially in areas of sandy overburden, and they often follow joint-controlled linear trends. Sinkhole dimensions are log-normally distributed with median values of circumference = 5.7 m, length = 1.8 m, width = 1.6 m, and depth = 0.7 m; asymmetry (L:W) = 1.2. Cross-sectional forms range from narrow cylinders to large bowls, with many sinkholes having undercut sides.Flooding triggered the formation of sinkholes by saturating and liquefying overburden, which caused soil arches to collapse and flow into cavities in bedrock. The prevalence of sinkholes near the periphery of flooding suggests that drainage and loss of buoyant support as flood waters subsided may also have contributed to failure. A volume ratio index is used to quantify the three dimensional geometric form of sinkholes. Initially, small cylindrical shafts open over a bedrock joint, followed by progressive slumping that leads to widening and increases in volume to a final bowl form. Estimates of the aggregate volume of overburden transported underground in flooded areas range from 7,990 to 11,130 m3. Averaged over flooded areas, this accounts for 0.26 to 0.37 mm/km² lowering of the surface. Based on a 500 year recurrence interval for the flood event, values for lowering of the surface range from 0.52 to 0.74 mm per 1,000 years. These values are an order of magnitude less than estimates of carbonate dissolution and suggest that transport of overburden underground is limited by triggering events.     

The changing nature of, and approaches to, UK coastal management at the start of the twenty-first century

As we enter the twenty-first century, effective coastal management will become more of a central issue for coastal users and governors alike. The new century sees the review of many of the UK's existing management plans, and the subsequent publication of revised versions. Some of these new editions will have to show changes from their predecessors because of natural processes of erosion and accretion, yet other changes will be because of human interference. In this, we mean the continued ignoring of previous management plan recommendations regarding new development and coastal usage. Coastal management needs to adapt and develop, yet along with this, increased education and awareness is also necessary to allow users to understand and appreciate what is being recommended in management plans.     

High‐pressure phase transitions of α‐quartz under nonhydrostatic dynamic conditions: A reconnaissance study at PETRA III

Hypervelocity collisions of solid bodies occur frequently in the solar system and affect rocks by shock waves and dynamic loading. A range of shock metamorphic effects and high‐pressure polymorphs in rock‐forming minerals are known from meteorites and terrestrial impact craters. Here, we investigate the formation of high‐pressure polymorphs of α‐quartz under dynamic and nonhydrostatic conditions and compare these disequilibrium states with those predicted by phase diagrams derived from static experiments under equilibrium conditions. We create highly dynamic conditions utilizing a mDAC and study the phase transformations in α‐quartz in situ by synchrotron powder X‐ray diffraction. Phase transitions of α‐quartz are studied at pressures up to 66.1 and different loading rates. At compression rates between 0.14 and 1.96 GPa s^?1, experiments reveal that α‐quartz is amorphized and partially converted to stishovite between 20.7 GPa and 28.0 GPa. Therefore, coesite is not formed as would be expected from equilibrium conditions. With the increasing compression rate, a slight increase in the transition pressure occurs. The experiments show that dynamic compression causes an instantaneous formation of structures consisting only of SiO₆ octahedra rather than the rearrangement of the SiO₄ tetrahedra to form a coesite. Although shock compression rates are orders of magnitude faster, a similar mechanism could operate in impact events.