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Introduction to Statics and Dynamics P1 ppsx

Introduction to Statics and Dynamics P1 ppsx

Introduction to Statics and Dynamics P1 ppsx

... machines and machine parts are designed to move something. Bicycles, planes, elevators, and hearses aredesigned to move people; a clockwork, to moveclock hands; insect wings, to move insect bodies; and ... tools:• A vector calculator that always keeps vectors and scalars distinct, and • A reliable and clear free body diagram drawing tool.Because manyof the terms in mechanics equations arevectors, ... usedto define all the others, are thetwo scalars, mass m and time t, and the two vectors, relative positionri/O, and forceF . Scalars are typed with an ordinary font (t and m) and vectors...
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Tài liệu Introduction To Statics And Dynamics P1 ppt

Tài liệu Introduction To Statics And Dynamics P1 ppt

... distinguishingvectors from scalars. Vector addition is motivated by the need to add forces and relative positions, dot products are motivated as the tool which reduces vectorequations to scalar equations, and ... expands statics to include material properties and also paysmore attention todistributed forces (traction and stress). This book only occasionallytouches lightly on strength of materials topics ... First using rotating base5 Statics, dynamics, and strength of materialsElementary mechanics is traditionally partitioned into three courses named statics , dynamics , and ‘strength of materials’....
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Tài liệu Introduction To Statics And Dynamics P2 doc

Tài liệu Introduction To Statics And Dynamics P2 doc

... of two vectors 232.2 The dot product of two vectorsThe dot product is used to project a vector in a given direction, to reduce a vector to components, to reduce vector equations to scalar equations, ... vector can be broken down into a sum of components eachparallel to one of the orthogonal base vectors. Another useful decomposition is this:Given any vectorA and a unit vectorˆλ the vectorA ... equations, to define work and power, and to help solve geometry problems.The dot product of two vectorsA and B is writtenA ·B (pronounced ‘A dot B’).The dot product ofA and B is...
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Introduction to statics and dynamics

Introduction to statics and dynamics

... of two vectors 232.2 The dot product of two vectorsThe dot product is used to project a vector in a given direction, to reduce a vector to components, to reduce vector equations to scalar equations, ... distinguishingvectors from scalars. Vector addition is motivated by the need to add forces and relative positions, dot products are motivated as the tool which reduces vectorequations to scalar equations, and ... scalar and not a vector. Learning how to work with vectors and scalars is hard enoughwithout the added confusion of not being able to tell at a glance which termsin your equations are vectors and...
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Introduction to statics and dynamics chap1 10

Introduction to statics and dynamics chap1 10

... mainmathematical tool here is the vector cross product, a second way of multiplyingvectors together. The cross product is used to define (and calculate) moment and to calculate various quantities in dynamics. ... how to think about it your own way, to become an expertin your own style, and to do the work in the way that makes things most clear to you and your readers.What’s in your toolbox?In the toolbox ... mechanics problems are two wellworn tools:• A vector calculator that always keeps vectors and scalars distinct, and • A reliable and clear free body diagram drawing tool.Because many of the terms...
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Introduction to statics and dynamics chap11

Introduction to statics and dynamics chap11

... ABCand D are constants and λ =√k/m. We need initial conditions to evaluate the constants ABCand D. Since the mass starts at t = 0 from the restposition when θ = θo,x(0) =− cos θo and ... calculator using trial and error.Here is a MATLAB script which finds tf and plots the path of the collar fromt = 0stot = tf:tf = fzero(’slidebar’,2); % run built-in function fzero% to find ... easy to solve and where the solution is easy to interpret.But, if we add a central force, a force like earth’s gravity acting on an orbitingsatellite (the force on the satellite is directed towards...
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Introduction to statics and dynamics problem book

Introduction to statics and dynamics problem book

... after14,12,34, and 1 revolution.Draw the velocity vector (by hand) onyour plot. Draw the direction accu-rately and draw the lengths of the vec-tors in proportion to their magnitude.You ... should.]∗yzxF2F14m3m5mOABCDproblem 2.81:(Filename:p1sp92)2.82 A, B, and C are located by positionvectorsrA= (1, 2, 3),rB= (4, 5, 6), and rC= (7, 8, 9).a) Use the vector dot product to find theangle BAC (A ... length of theshaft is 2d. A motor applies a torque Mmotoralong theaxisof the shaft. Attheinstant shownin the figure, assume m, , d, ω and Mmotorareknown and the rod lies in the yz-plane.a)...
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Introduction to Statics and Dynamics P2 doc

Introduction to Statics and Dynamics P2 doc

... two vectorsThe dot product is used to project a vector in a given direction, to reduce a vector to components, to reduce vector equations to scalar equations, to define work and power, and to help ... generalize to this:the tendency of a force to cause rotation is proportional to the size of the force and to its distance from the hinge (for forces perpendicular to the teeter totter).If someonestandingnearbyaddsaforcethatisdirectedtowardsthehingeitcausesno ... someonestandingnearbyaddsaforcethatisdirectedtowardsthehingeitcausesno tendency to rotate. Because any force can be decomposed into a sum of forces,one perpendicular to the teeter totter and the other towards the hinge, and becausewe...
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Intro to statics and dynamics   a  ruina, r  pratap

Intro to statics and dynamics a ruina, r pratap

... dot product is used to project a vector in a given direction, to reduce a vector to components, to reduce vector equations to scalar equations, to define work and power, and to help solve geometry ... tools:• A vector calculator that always keeps vectors and scalars distinct, and • A reliable and clear free body diagram drawing tool.Because manyof the terms in mechanics equations arevectors, ... usedto define all the others, are thetwo scalars, mass m and time t, and the two vectors, relative positionri/O, and forceF . Scalars are typed with an ordinary font (t and m) and vectors...
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C++ - I/O Streams as an Introduction to Objects and Classes

C++ - I/O Streams as an Introduction to Objects and Classes

... beginning to the end (for now)No backing up to read something again (OK to start over)Just as done from the keyboardWriting to a fileSending output to a fileDone from beginning to end ... Files?Files allow you to store data permanently!Data output to a file lasts after the program endsAn input file can be used over and overNo typing of data again and again for testingCreate ... up to write something again( OK to start over)Just as done to the screenSlide 6- 5Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-WesleyI/O StreamsI/O refers to...
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