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mathematics

George Atwood

George Atwood is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand George Atwood rather than just read about it. In short: George Atwood (c. October 1745 – 11 July 1807) was an English mathematician who invented the Atwood machine for illustrating the effects of Newton's laws of motion.

George Atwood — main illustration
George Atwood — illustration

Key takeaways

  • George Atwood belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect George Atwood to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of George Atwood from memory before moving on to harder problems.

Reference excerpt

George Atwood (c. October 1745 – 11 July 1807) was an English mathematician who invented the Atwood machine for illustrating the effects of Newton's laws of motion. He was also a renowned chess player whose skill for recording many games of his own and of other players, including François-André Danican Philidor, the leading master of his time, left a valuable historical record for future generations. Atwood was born in Westminster, with the date remaining unknown, but presumed to have been shortly before his baptism on 15 October 1745. He attended Westminster School, and in 1765, was admitted to Trinity College, Cambridge. He graduated in 1769, with the rank of third wrangler and was awarded the inaugural first Smith's Prize. Subsequently, he became a fellow and a tutor of the college. In 1776, he was elected a fellow of the Royal Society of London. In 1784, he left Cambridge and soon afterwards received from William Pitt the Younger the office of patent searcher of the customs, which required but little attendance, enabling him to devote a considerable portion of his time to mathematics and physics. Atwood died unmarried in Westminster at the age of 61, and was buried there at St. Margaret's Church. Over a century later, a lunar crater was renamed Atwood in his honour.

Selected publications

Atwood's published works, exclusive of papers contributed to the Philosophical Transactions, for one of which he obtained the 1796 Copley Medal, are as follows:

Description of the experiments, intended to illustrate a course of lectures, on the principles of natural philosophy (in Italian). Pavia: Stamperia del Monastero di S. Salvatore <Pavia>. 1781. Analysis of a Course of Lectures on the Principles of Natural Philosophy (Cambridge, 1784). Treatise on the Rectilinear Motion and Rotation of Bodies (Cambridge, 1784), which gives some interesting experiments, by means of which mechanical truths can be ocularly exhibited and demonstrated, and describes the machine, since named after Atwood, for verifying experimentally the laws of simple acceleration of motion. The construction and analysis of geometrical propositions, determining the positions assumed by homogeneal bodies which float freely and at rest on a fluid surface, Philosophical Transactions of the Royal Society (London, 1796); (portuguese translation, 1798). Review of the Statutes and Ordinances of Assize which have been established in England from the 4th year of King John, 1202, to the 37th of his present Majesty (London, 1801), a work of some historical research. Dissertation on the Construction and Properties of Arches (London, 1801). Chess games recorded by Atwood were published posthumously by George Walker in London in 1835, under the name Selection of Games at Chess, actually played by Philidor and his Contemporaries. Atwood was one of a few masters that could beat Verdoni on occasion.

References

External links

O'Connor, John J.; Robertson, Edmund F., "George Atwood", MacTutor History of Mathematics Archive, University of St Andrews "Atwood, George" . Encyclopædia Britannica. Vol. III (9th ed.). 1878. p. 65. George Atwood player profile and games at Chessgames.com

Worked examples

Example 1 — a first encounter with George Atwood

Start with the simplest possible case. Write down what George Atwood claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to George Atwood before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about George Atwood ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of George Atwood

In research
George Atwood appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses George Atwood in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
George Atwood is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1745 births, 1807 deaths, 18th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for George Atwood outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study George Atwood in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what George Atwood means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain George Atwood out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is George Atwood in simple terms?

George Atwood (c. October 1745 – 11 July 1807) was an English mathematician who invented the Atwood machine for illustrating the effects of Newton's laws of motion.

Why does George Atwood matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study George Atwood?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on George Atwood.

Tags

  • 1745 births
  • 1807 deaths
  • 18th-century English mathematicians
  • 19th-century British chess players
  • 19th-century English mathematicians
  • 19th-century English sportsmen
  • Alumni of Trinity College, Cambridge
  • British fellows of the Royal Society
  • English inventors
  • Fellows of Trinity College, Cambridge
  • People educated at Westminster School, London
  • People from Westminster

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