ページ1:

Kinematics
rotational linear
T
a
int
8 NF = x₁ + y z + z k =
3
=
1 = 1+1+
ax = fude
sv=fadt
ele
V₁
Vi
dt
origin
dk
cvy
=
+
+
dt
dt
de'
In constant acceleration
-xx=
H
dx 2 + 1 + 1 = d (vv) = dv v + v de
V=Votat
* (Votat) dt = Vot + ≤ at = Vo+v
avy velocity
xt =
20
3
change speed
change direction
V
V₂
Vot
3
IL
VA
4x=V₂++= at
#f
v(t) dt = Vorg (ts-to) = Vo+v
xst
·Jr = Wear (118)= &KE=
16 = √ hade = a(ty - to) = ast
VF-Vo=
te
dt
For circular motion
dif (d=JOR
| dif.C
V= ∞ R
a = w²R=
ATR
= AE = (WR) = WV
Vi
projectile motion
→ R = VOLOSTOST
Jav
<p> a=v
%
7
Relative Motion TAR, VAS, GAB
(x-x)=√²²- Kinematics
Fami
(AB
Cobserving A from B
JAL=VAO + VIBL
0₁₂ = GAB + 01BL
= (1/mv²) → work energy Galilean Transformation
tst
x = x-vt
y=y
V.
2
in Los
V₁
dv=vdo
T
g
(113)
(Vx(t) = Voloso
vylej Vsingt
Tup = V S
个
Bob
g
THAT
Bob' (Bob with speed)
use it to relate EDM of
and
dif observer (note that
we
take time derivative for xyz)

ページ2:

Newton's Laws
=
N1.
✓ <
= const) F = 0
V=
。
N2. F=ma
net
single particle
(inertial refrene frame) ~ can find others as long us Pres = conse.
→ Fret = Macm
System of partales
@same lime (simultanemily)
Jif. direction
N3. F OF
Same magnitude
operator
grad 4 = 34
Friction
f₁ = MN
FK =μKN
Spring = F= -kx
interpretation
:
note: when
Spring
Ive can def
force t
a new
; gravityd
on
sume object
Fret and its corresponding L.
I
Conv ( § (Fomiva + ) = 1 + Fund
integral theorem
Q
Fret
3. JR = (2)-(R)
= 0+0=0
名
div F = · F
curl F = × F
ㄎㄨ
max. rate of
change of f
Net outflux of F
per unit volume
Circulation of
per unit area
F
SSS & ₁F av = SS
&-F
D
???
= SS Finds
S
SS oxFinds = S F. dŘ
S
C