Physical Sciences and Mathematics Commons^™

Planar Motion

Calculus-Based General Physics

Enough of this physics where things move along straight lines only! We know that most interesting real-life motions involve curves of many and varied shapes. This module extends your understanding of kinematics from one dimension to two dimensions. To accomplish this, you will combine your knowledge of calculus and vectors with concepts like position, displacement, velocity, speed, and acceleration.

Two important applications that will be utilized many times in later modules are covered here. First is the motion of a particle experiencing constant acceleration, e.g., a baseball in flight. Second is the motion of a particle in a circular path …

Rotational Motion

Calculus-Based General Physics

There is a motion of a system of masses that is as simple as the motion of a point mass on a straight line. It is the rotation of a rigid body about a fixed axis. For example, we live on a rotating earth, use rotating devices such as a potter's wheel or a phonograph turntable, and test our luck with a spinning roulette wheel. All of these are objects whose motion is described by the time dependence of a single variable, the angle of rotation. We shall study the angular equivalent of uniformly accelerated motion for some rotating objects. …

Partial Derivatives

Calculus-Based General Physics

If we have a function of more than one independent variable, then we can define a partial derivative with respect to one of the variables, which is simply the derivative of the function with all the other variables fixed, The notation using ∂, which we will use below, tells you it is a partial derivative, For example, suppose we have the function y that depends on the independent variables x and t:

y = A sin(kx – ωt),

where A, k, and ω are constants, Then, "the partial derivative of y with respect to x" …

Calculus

Calculus-Based General Physics

Differentiation of a function, say f(x), is a mathematical operation which yields a second function called the derivative of f [symbolized by f '(x) or dy/dx]. This procedure is represented in the diagram, which shows

Input Differentiation Operation Output

f(x) → f ' (x) = df/dx

the function f(x) being input to an "analytical machine" that manufactures as output the derivative of f. A detailed mathematical prescription for the differentiation operation is nontrivial. It usually involves a quarter or semester course, which requires time, attention, and effort on the student's part.

Traveling Waves

Calculus-Based General Physics

"For many people -- perhaps for most -- the word "wave" conjures up a picture of an ocean, with the rollers sweeping onto the beach from the open sea. If you have stood and watched this phenomenon, you may have felt that for all its grandeur it contains an element of anticlimax. You see the crests racing in, you get a sense of the massive assault by the water on the land -- and indeed the waves can do great damage, which means that they are carriers of energy -- but yet when it is all over, when the wave …

Water Current, Volume 7, No. 1, January 1975

Water Current Newsletter

From the Desk of the Director
Conference Held on Research in Action
NWRRI Research Seminar
Nebraska First in NPDES Program
Resignations and Retirements from OWRT
Future Water Crisis Noted
Horton Outlines Federal Water Policy
Research Review: Seasonsal Water Use of Irrigated Pasture Grasses Under Permanent-Set Irrigation as Related to Climatic Factors

Dickey-Lincoln School Lakes, Maine, U.S.A. And Quebec, Canada: Design Memorandum No. 2: Hydrology And Hydraulic Analysis: Section 3 - Dickey Dam-Spillway Design Flood, Army. Corps Of Engineers. New England Division

Dickey-Lincoln School Lakes Project

This report, Section III, is the third of five sections comprising Design Memorandum No. 2. This section, on the development of the spillway design flood (SDF) for the Dickey project, describes the hydrologic criteria used and analysis performed in determining the SDF and the results of routing the flood through the reservoir in order to establish surcharge-length relations for the spillway at Dickey Dam. Also included is a discussion of freeboard requirements, frequency of filling data, an update of climatologic data and daily discharge records of the Saint John and Allagash Rivers.

Hydroelectric Power Potential At Corps Of Engineers Projects : A Report, Ralph L. Trisko, United States. Army., Institiute For Water Resources

Dickey-Lincoln School Lakes Project

This report completes phase one of the study. It is intended to fill the need, recognized at the outset, for a broad framework within which subsequent more detailed study at the project level might take place. It is an overview of physical hydropower potential in the context of energy and water resources and demands, energy economics, and federal policy, organization, and practices pertaining to hydropower development and marketing.

1975 South West Sub.Clover Root Rot - 1975 Cultivation Experiments, M J. Barbetti, G C. Macnish

Experimental Summaries - Plant Research

Trials were established in 1975 in the South West of WA to investigate the effect of time of cultivation, and nitrogen application, upon the incidence and severity of both tap and lateral root rot subterranean clover. Nitrogen application had little in the way of consistent effects. Cultivation reduced the levels of both tap and lateral root rot in many instances. These effects were most obvious and consistent at about the end of May. Cultivation just prior to or just after the break of season were the best cultivation treatments. Cultivation does appear to show some promise as a means of …

1975 Part 1 - Rates And Times Of Potassium Applications On Lupins Cv Unicrop, W. J. Cox

Experimental Summaries - Plant Research

K McQueen - Eneabba - 75TS1 I. Soil analysis II. Plant counts III. Seasonal dry matter production g/20 plants IV. Grain yield kg/ha harvested November 7, 1975 V. K, Ca, Mg and N in plants (a) effect of time of sampling (b) Effect of plant part on K concentration VI. K Ca, Mg and N uptake

Distribution And Relative Abundance Of Billfishes (Istiophoridae) Of The Indian Ocean, John Kenneth Howard, Walter A. Starck Ii

Studies in Tropical Oceanography

No abstract provided.

Decision On The Environment: A Study Of Environmental Roll Call Behavior In The United States House Of Representatives, John Bartosiewicz

Dissertations, Theses, and Masters Projects

No abstract provided.

Structural Studies In The Moretown And Cram Hill Units Near Ludlow, Vermont, William J. Gregg

Geology Theses and Dissertations

The geology of the eastern limb of the Green Mountain Anticlinorium consists of a series of Paleozoic metasedimentary rocks with lithologic boundaries arranged in a remarkably straight trend approximately parallel to the axis of the Green Mountains. Published reports of the area, consisting largely of reconnaissance mapping, have treated this complex series of polyphase deformed rocks as an essentially upright autocthonous sedimentary sequence. Boundaries between rock units have, for the most part, been assumed to be primary in origin, as have various structural elements within the rock units. More recent work in selected areas within the Ludlow Quadrangle has revealed …

Structural Studies In The Mafic And Ultramafic Rocks Of The Lewis Hills, Western Newfoundland, Jeffrey A. Karson

Geology Theses and Dissertations

Table of contents:
CHAPTER I. INTRODUCTION
CHAPTER II. REGIONAL GEOLOGY
CHAPTER III. THE LEWIS HILLS COMPARED TO THE NORTHERN AREAS OF THE BAY OF ISLAND COMPLEX
CHAPTER IV. PETROGRAPHY
CHAPTER V. STRUCTURAL GEOLOGY
CHAPTER VI. SUMMARY, CONCLUSIONS, AND SPECULATIONS
BIBLIOGRAPHY
APPENDIX I. CONTOURED STEREOGRAPHIC PROJECTIONS OF FOLIATIONS AND LINEATIONS IN THE HINES POND AREA

A Study Of Some Petrologic And Structural Aspects Of The East Dover Ultramafic Bodies, South Central Vermont, Mark Allen Hoffman

Geology Theses and Dissertations

INTRODUCTION (pp.1-4)

Mineralogical, textural and chemical changes of ultramafic rocks in response to regional deformation and metamorphism are, at best, imperfectly known (Miyashiro, 1973, p. 30). In Vermont, which has an extremely prominent and well-exposed belt of ultramafics (fig. 1), investigation of these rocks has largely been directed toward such processes as serpentinization, steatitization, and the formation of metasomatic zones at the contacts with country rocks. With few exceptions, there is a lack of detailed descriptions of regional metamorphic textures, mineralogy, and structures developed in the Vermont ultramafic rocks. It is the main purpose of this thesis to describe the …

1974 Field Experiments On Legume Seed Inoculation, D. L. Chatel

Experimental Summaries - Plant Research

The response of sweet lupins to inoculation in Western Australia Before proceeding with details of the six lupin inoculation experiments conducted in 1974 the following comments are presented as a brief summary of the work so far done on lupin inoculation. Thirty nine inoculation experiments with sweet lupins (mainly Lupinus angustifolius var. Uniwhite, Uniharvest and Unicrop have been conducted in South-Western Australia since 1970. They have been drill-sown under farmer conditions and they have been aimed at finding where it is necessary to inoculate and the best method of inoculating seed. Of the 39 trials, 36 gave better nodulation following …

Summary Of 1975 Field Experiments With Advisers: "Rape Blackleg Disease Fungicide Trials", M J. Barbetti

Experimental Summaries - Plant Research

During 1973 and 1974 a large range of fungicide spray and seed treatment schedules were tested. The 1973 results were, on the whole, not very encouraging, but the very early post-germination spray, two weeks after germination, did indicate a possible means of control. In view of the 1973 results, in the 1974 trials fungicidal sprays were applied early, and a new method of application of fungicide to the seed, known as "prilling" was used. Using fungicide seed prills and seedless fungicide prills the idea was to have the fungicide mixed with materials which dispersed upon wetting, so releasing and making …

1975 Phosphorus And Sulphur Sources Trials, M D. Bolland

Experimental Summaries - Plant Research

1. Sulphur sources trials (a) Newdegate Gypsum Trials: Yarloop - 75YA3, Bridgetown - 75BR10, Busselton - 75BU6, Alexandria Bridge - 75BU7. (b) Gyplap - FeS04 Trial: McAlinden - 75BY4. 2. Phosphorus source trials: E. Chittering - 75NO7A E. Chittering - 75NO7B

1975 Part 2 - Rate, Time And Frequency Of Nitrogen Application On Kikuyu, W. J. Cox

Experimental Summaries - Plant Research

J. Burton,, Hazelvale 74DE7. I. Dry Matter Production kg/ha/day tables - (No Spring '74 N) (Spring N 1974) Soil Properties March 10, 1975. Total N concentration % - Tables

1975 Trials On Doublegee, D J. Gilbey

Experimental Summaries - Plant Research

75A16, 75A17, 75C13, 75MO36, 75MO37, 75WH21, 75WH22. Biological control of doublegee.

1975 Mn Drilled And Sprayed On Unicrop, J. W. Gartrell

Experimental Summaries - Plant Research

75AL25 (with Trevenen) Mn Drilled and Sprayed on Unicrop, 75AL26, 75ES28, 785ES29, 75GE32, 75MO31, 75MO33, 75TS24, 75TS25.

1975 Evaluation Of New Subterranean Clover Cultivars, C. M. Francis

Experimental Summaries - Plant Research

This year's trials have added little to the data already accumulated on the corssbreds 175,1 and 239.2 (Table 1). Higher seed yields at Merredin would have included some hard seed from the previous year. The lack of reliable data from the May sowings due to poor viability of some seed lines (including 175 and 239) grown at Medina was unfortunate. Data from Lake King is not yet available. Geraldton performed surprisingly well in the late sowings despite overall low seed yields. With late sowing its flowering date was within a few days of the crossbreds so that late sowing appears …

Summary Of Trial Results - 1975, N. R. Mckeown

Experimental Summaries - Plant Research

1. From September 1971 to late August 1974 there was a mean reduction of legume content in the medic pastures from 40 per cent to 22.0 per cent but the reduction at 7.4 sh/ha was to 31 per cent. The drop in woolly clover content on the volunteer pastures was closely similar. 2. In 1972, at 7.4 sheep/ha a difference in body weight of 7-9 kg rapidly developed in favour of sheep grazing barrel medic compared with sheep on volunteer pasture. This difference was maintained consistently throughout the trial. At lower stocking rates the differences were smaller and less consistent. …

1975 Nitrogenous Fertilisers For Cereals - Trials With Wheat, Oats And Barley, M. G. Mason

Experimental Summaries - Plant Research

Rates of nitrogen on wheat - soil test - Fifty-one sites were selected and soil sampled during February- March. All these proposed trials consisted of four replications and these reps were soil sampled separately. In each rep. 20 samples were taken to 10cm depth with pogo stick samplers. In addition, from three holes at random across each trial bulk samples were obtained from the 0-15, 15-30 and 30-45 cm soil intervals These soil samples were air dried (if not already dry) and sieved to remove > 2 mm fraction (gravel). Portions of these < 2mm fractions from the 0-10cm samples were sent to the Government Chemical Laboratories and to C.S.B.P. & Farmers Ltd. At C.S.B.P. analyses were carried out to determine P and K content and the C.S.B.P. soil nitrogen test was also carried out on them. This measures nitrate content before and after incubation with moist soil at 32c for seven days. A measurement was also made after 14 days. At Government Chemical Laboratories analyses were to be carried for Organic carbon and for a number of nitrogen fractions, including Total Nitrogen, MH4 + NO3 Nitrogen and several incubation techniques. These were also to be determined on the profile samples, which were also to be subject to the following analyses: a) Mechanical Analysis b) pH (in water) c) Cation Exchange Capacity d) Moisture Holding Capacity All of these trials were planted except for one at Jerramungup, where the marker pegs were ploughed out by the farmer. Vegetative cuts were then taken during the August - September period on 46 of the remaining 50 sites. Three of the other four sites were abandoned because of severe waterlogging (Neridup), extreme weediness (Nugadong) or due to poor plant survival (possibly due to webworm) combined with weeds (Mallalying). The trial at Wannamal was sown to oats, by the farmer. The nitrogen treatments were still applied and the trial was retained but not sampled for dry matter production. These samples were to be analysed for nitrogen content. Dry matter production and grain yields are set out in the following tables. 61M11, 75A1. 75A2, 75A3, 75AL1, 75AL2, 75BA2, 75BA3, 75BR1, 75BR2, 75C1, 75C2, 75C3, 75E2, 75E3, 75ES1, 75ES2, 75ES4, 75GE1, 75GE2, 75GE3, 75JE1, 5JE2, 75KA1, 75KA2, 75LG1, 75LG2, 75LG3, 75M2, 75M3,75M4, 75ME1, 75ME2, 75ME3, 75MO1, 75MO2, 75MO4, 75MT2, 75MT3, 75N1, 75N2, 75N3, 75NA1, 75NA3. 75NA4, 75NO2, 75NO3, 75SG1, 75SG2, 75TS2, 75TS3, 75TS4, 75WH4, 75WH5, 75WH6, 75WH7.

Evaluation Of The Systemic Nematicide Phenamiphos To Control The Nematode Anguina Sp In Toxic Ryegrass Pasture, B A. Stynes

Experimental Summaries - Plant Research

Field trials done in 1974 showed that phenamiphos could be used to control Anguina sp. and suggested that low rates may be effective with critical timing of applications. These possibilities were investigated in 1975. Locality - Katanning - F. Quartermaine and c. Butterworth. Gnowangerup - J. Griffith. Tables 1 and 2 show the absolute levels of nematodes in ryegrass seed and the density of nematodes per unit area of pasture after treatment with phenamiphos. All rates of nematicide reduced the level and density of nematodes; the highest rate being slightly more effective. The spray schedule including sprays in July and …

Piericiden A Sensitivity, Site 1 Phosphorylation, And Reduced Nicotinamide Adenine Dinucleotide Dehydrogenase During Iron-Limited Growth Of Candida Utilis, John G. Cobley, T. P. Singer, H. Beinert, S. Grossman

Chemistry Faculty Publications

It has been reported that cells of Candida utilis, grown in continuous culture under iron-limited conditions, develop site 1 phosphorylation, without the appearance of piericidin sensitivity and without changes in the iron-sulfur centers of NADH dehydrogenase, on aeration in the presence of cycloheximide, as well as on increasing the supply of iron during growth. These findings were reinvestigated in the present study. The parameters and properties followed during these transitions were sensitivity of NADH oxidation to piericidin, presence or absence of coupling site 1, EPR signals appearing on reduction with NADH or dithionite, the specific activities of NADH oxidase, NADH-ferricyanide …

The Prediction Of Lake Huron Lake-Effect Snowfall Systems, Kenneth F. Dewey

School of Natural Resources: Faculty Publications

Data was collected during the 1971-72 snowfall season for the Lake Huron basin. The bulk aerodynamic approach, as formulated by Priestly, was utilized to estimate the daily average flux of heat and moisture over the lake. It was hypothesized that discriminant analysis could be employed to determine the threshold value (discriminant index) of the energy flux which is necessary for the occurrence of the lake-effect snowfall system. To determine the validity of this threshold value, the discriminant index was applied to a series of historical data. The results of this analysis indicated that the discriminant index could be utilized to …

Accuracy Of Lysimetric, Energy Balance, And Stability-Corrected Aerodynamic Methods Of Estimating Above-Canopy Flux Of Co2, S. B. Verma, N. J. Rosenberg

School of Natural Resources: Faculty Publications

No abstract provided.

A Coefficient Inequality For Convex Univalent Functions, S. Y. Trimble

Mathematics and Statistics Faculty Research & Creative Works

A short proof of formula presented is given for normalized convex univalent functions. © 1975, American Mathematical Society.

On Functional Equations Related To Mielnik's Probability Spaces, C. F. Blakemore, Caslav V. Stanojevic

Mathematics and Statistics Faculty Research & Creative Works

It is shown that the method used by C. V. Stanojevic to obtain a characterization of inner product spaces in terms of a Mielnik probability space of dimension 2 does not admit a generalization to dimension n > 2. © 1975 American Mathematical Society.