Summary Engineering Statics

scalar
ve ar ve quantity with magnitude
vector
physicalquantitywith both magnitude and direction

addition of vectors

cos wie AB AÉ 2A BToAB

sin rule
site IIB
solve
use tng to make parallelogram properties include opposite L's are equal
mangle properties include c's add up to 1800
and solvefor resultant force or for force
on a desired plane

collinear act in same plane in same direction n Fr


rechlinear ER Ex Fy where ex Fcoso and Fy Fsino
joab
see
FE FE
take it and t

coplanar lie in same plane
FR Foe Fr capitaine
cartiseannotation Er fat egg Fr y EFy o 1
tan Fr y
Fr x

A Axl Az K right handrule FAZE
Ayjt a
A f
Cosa AE tcaytcazt
p
cos AI .to
Ant cosy Bag
where bA
IF AI I Any j Af k cosy costs cos y I
cosa I Cosby t cosy k

A ATA AcoSLI t ACOSBIT ACOSYK
Axl Ay t AZE

, position vector fixed vector that relatea point in spacetoanother
r
F x I yj z k
XB XA I CYB YA j t ZB ZA K E É
solve write coordinates and then sum according to direction

race rector along a line E to F
E É
e
E
dotproduct
A
a o arioso where multibyscalar a A B Cart B Aca
so m ca

where A B Ax I Ayj t Az E BOLI By BEE
Ax Bx Ii CAYBy jjt CAZBZ KK
Ax Boot AyBy AzBz