Vector Analysis.pdf
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This document discusses vector laws and their basics. It defines vectors and scalars, and how vectors are represented by their magnitude, direction, and unit. It then explains the triangular law for adding two vectors by resolving them into their x and y components. The parallelogram law and polygon law are also introduced as ways to find the resultant of multiple vectors using geometric constructions.
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* So the river's velocity is 10 cos(45属)ax + 10 sin(45属)ay = 7.07ax + 7.07ay
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* Man walks on deck at 2 km/hr perpendicular to the boat
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-Zuf辰lligurl zu
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peut 辿lus silly mais les mes ishaute quils le aurais sans Les 辿tablis qui
des Louis de belle accueillis sell puss p竪re peut olds sects it's all辿tells peutall asplait suite
Il -12 ) pas cause subit lequel euros le en as d辿taill辿 de till
PILONI balo -2
ispeulit Mais anglais appareils guilt gens ils en anglais glory pile le vous pr竪s
... still que y pais vida Los play qu辿tej坦n Less via Leal su abuelos l叩stimaall) isa las
des audit elleguilt disons s'il souhait sous sirs vous lucius atoutes pouvait lets pas
il taille glacis Lieu daily qui les jeutaille pas bill Luc jean 辿cumait il taille Lacis just-Zuf辰lligurl zu
peut 辿lus silly mais les mes ishaute quils le aurais sans Les 辿tablis qui
des Louis de belle accueillis sell puss p竪re peut olds sects it's all辿tells peutall asplait suite
Il -12 ) pas cause subit lequel euros le en as d辿taill辿 de till
PILONI balo -2
ispeulit Mais anglais appareils guilt gens ils en anglais glory pile le vous pr竪s
... still que y pais vida Los play qu辿tej坦n Less via Leal su abuelos l叩stimaall) isa las
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des audit elleguilt disons s'il souhait sous sirs vous lucius atoutes pouvait letsDesigning Flex and Rigid-Flex PCBs to Prevent Failure
Designing Flex and Rigid-Flex PCBs to Prevent FailureEpec Engineered Technologies
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Flex and rigid-flex printed circuit boards (PCBs) can be considered at the basic level some of the most complex PCBs in the industry. With that in mind, its incredibly easy to make a mistake, to leave something out, or to create a design that was doomed from the start.
Such design failures can end up leading to an eventual failure by delamination, short circuits, damage to the flex portions, and many other things. The easiest way to circumvent these is to start at the beginning, to design with preventing failure in mind rather than trying to fix existing designs to accommodate for problems.
In this webinar, we cover how to design flex and rigid-flex PCBs with failure prevention in mind to save time, money, and headaches, and what failure can look like.
For more information on our flex and rigid-flex PCB solutions, visit https://www.epectec.com/flex.Vector Analysis.pdf
- 1. By Prof. Hitesh Dholakiya Basics of Vector, Triangular, Parallelogram & polygon law Electromagnetics E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
- 2. Basics of Vector Triangular Law Resultant of two vector Parallelogram Law Outlines of Session Polygon Law E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
- 3. Basics of Vector Difference between vector and scalar Scalar Vector 1. The quantities which has magnitude and direction are vector quantities 1. The quantities which has only magnitude, and no direction, are scalar quantities 2. The vector quantities are more than one dimensional quantities 2. The scalar quantities are one dimensional quantities 3. The vector can not be divided with another vector quantities 3. The scalar can be divided with another scalar quantities 4. Number (Magnitude), direction (Unit vector) and unit is required to represent vector quantities 4. Number (Magnitude) and unit is only required to represent scalar quantities 5. E. g. Velocity, Force 5. E. g. Mass, Time E n g i n e e r i n g F u n d a Engineering Funda Android App Electromagnetic Theory YT Playlist
- 4. Basics of Vector Representation of vector Magnitude of vector Unit vector 圖 = 基 童 + 基 童 + 基 犒 圖 = (基, 基, 基) = 圖 = 基 2 + 基 2 + 基 2 犒 = 圖 圖 E n g i n e e r i n g F u n d a
- 6. Resultant of two vector 圖 圖 As Pythagoras theorem 2 = ( + cos )2+( sin )2 2 = 2 + 2基 cos + ( cos )2+( sin )2 2 = 2 + 2基 cos + 2 E n g i n e e r i n g F u n d a