Classical Mechanics

Classical Mechanics

by VIKRAMAN N
Epub (Kobo), Epub (Adobe)
Publication Date: 25/01/2022

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Classical mechanics is a part of physics that deals with the motion of point masses (very small things) and rigid bodies (large things that can rotate as a whole but cannot change their shape). This is very useful in practice, since many objects in real life can be approximately considered to be either point masses or rigid bodies in most situations.


Typical problems solved in classical mechanics are:


To find the trajectory of a stone thrown into the air with known initial velocity. (The stone is considered to be a point mass.)

To predict the motion of a spacecraft approaching some planet, if its initial position and velocity far from the planet are known. (The spacecraft is considered to be a point mass.)

To find out how many revolutions per minute a disc will be executing if we know the strength of the engine driving the rotation. (The disc is considered to be a rigid body rotating as a whole.)

To find how much energy and how much time is needed to accelerate a small object to a given speed. (Point mass.)

To find the frequency of oscillations in a system of point masses connected by springs.


Of course, one can consider also much more complicated problems than these. For example:


A light spinning top stands at an angle on the surface of a heavy cylinder that can roll along a horizontal plane without sliding. Determine the conditions that would allow the top to avoid falling off the cylinder. (Both the cylinder and the top are considered rigid bodies.)


A spacecraft launched from the Earth needs to reach the surface of Mars within a certain time. Predict the most appropriate time of year for this mission and determine the least amount of rocket fuel needed. (The spacecraft is considered a point mass moving in the gravitational field of the Sun, the Earth, and Mars.)


Classical mechanics is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces. The study of the motion of bodies is an ancient one, making classical mechanics one of the oldest and largest subjects in science, engineering and technology. It is also widely known as Newtonian mechanics.


Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, as well as astronomical objects, such as spacecraft, planets, stars, and galaxies. Classical mechanics also provides extremely accurate results as long as the domain of study is restricted to large objects and the speeds involved do not approach the speed of light. When the objects being dealt with become sufficiently small, it becomes necessary to introduce the other major sub-field of mechanics, quantum mechanics, which reconciles the macroscopic laws of physics with the atomic nature of matter and handles the wave–particle duality of atoms and molecules. When both quantum mechanics and classical mechanics cannot apply, such as at the quantum level with high speeds, quantum field theory (QFT) becomes applicable.


The term classical mechanics was coined in the early 20th century to describe the system of physics begun by Isaac Newton and many contemporary 17th century natural philosophers, building upon the earlier astronomical theories of Johannes Kepler, which in turn were based on the precise observations of Tycho Brahe and the studies of terrestrial projectile motion of Galileo. Since these aspects of physics were developed long before the emergence of quantum physics and relativity, some sources exclude Einstein's theory of relativity from this category. However, a number of modern sources do include relativistic mechanics, which in their view represents classical mechanics in its most developed and most accurate form.


The initial stage in the development of classical mechanics is often referred to as Newtonian mechanics, and is associated with the physical concepts employed by and the mathematical methods invented by Newton himself, in parallel with Leibniz, and others. This is further described in the following sections. Later, more abstract and general methods were developed, leading to reformulations of classical mechanics known as Lagrangian mechanics and Hamiltonian mechanics. These advances were largely made in the 18th and 19th centuries, and they extend substantially beyond Newton's work, particularly through their use of analytical mechanics...............


This book has been written for the Medical/Pharmacy/Nursing/ME/M.TECH/BE/B.Tech students of All University with latest syllabus for ECE, EEE, CSE, IT, Mechanical, Bio Medical, Bio Tech, BCA, MCA and All B.Sc Department Students.


The basic aim of this book is to provide a basic knowledge in Classical Mechanics.


Classical Mechanics Syllabus students of degree, diploma & AMIE courses and a useful reference for these preparing for competitive examinations.


All the concepts are explained in a simple, clear and complete manner to achieve progressive learning.


This book is divided into five chapters. Each chapter is well supported with the necessary illustration practical examples.

ISBN:
1230005389360
1230005389360
Category:
General & world history
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
25-01-2022
Language:
English
Publisher:
WinMax

This item is delivered digitally

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