A=A¸i+Aj+Ak; B = Bi+B_j+B_k; R=A+B=(A¸+B¸)i+(A¸ + B¸)j+(Ax + B¸)k
Two dimension: |A|=|Ai+A,j] = √A + A
AB=A |B| cos = AB + A,B + AB;
tan 0 = A
A
C=A×Band |C|=|AB|sin
C=A×B; C = A,B - ABC = AB - ABC = AB, A,B
=xi+yj+zk; v=vi+vj+vk; a=a,i+a,j+ak
Δ=;
t2-t
=
0dr;
dt
;
At
aav =
- - Δυ
t2-t
U=Uox+Sadt; x=x+ Sudt
=
;
At
a=do
dt
y
a=dv;
dv
aaa=;
dt
dv
dt
(1) v = v + at (2) x=x+vt+at² (3) υ² = υ²+2a(x-x)
dt
(4) x-x=
2
Projectile motion: Use a = -g
υ² 4π² R
Uniform circular motion: arad =
R
Ï…
T2; F = marad = m R
UP/A = UP/B+UB/A(relative velocity in space)
Newton's First Law: F = 0 (body in equilibrium) ∑ = 0; ∑ = 0
Newton's Second Law: F = F net = ma; Fnet,x = max, Fnet,y = may, Fnet,z = maz
Newton's Third Law: FA on B =-FBon A
Weight w= mg;
f≤ N = fsmax; f = N
Quadratic equation: x =
-b±√b²-4ac
2a
