ページ1:

Work & Energy
WTOT =
(A+B)
=
(system of particles)~ every r., V, a (has C.M. at clown right corner) (I ignore them for convenione)
B
· v
clt
B
B
m
= m
+ 6 # ) + ( d ) = m [² v dv = m[*];
==/m²) = AKE
(toral work =
change in kinetic energy)
WotWert + Wint = AKE
Wext AKE - Wint
=>KE - Wcans (ins)
Wnoncons (irre)
(Wins (1-8)----(1-U₁))
=
KE
+ APE
+
ATE
Let's also consider Heat from outsade the system"
Q + Wext = AKE + & PE+ATE ( First Laws of Thermodygromics / Energy Conservation)
(external added
=
internal change
Formulas for thermal energy
calculation: Q = meoT
Q =
1 = 46√m, D=Lv8m
fusion
The & wate
Vaporization
water-ga)
Each point has
a
specific potential energy
=0
(int)
For a system with only consu
forces
^
0=APE KE → ₤ (4+ KE) = 0 = 10
dK
dt
[ 発 = P= at (Imv²) = j# (zmtiv) = m² = 产
→
=(+ㄩ)
(xy)
-(0)-7
•Funs = QU
To
Also, x=
gradient
curl/circulation (0)
2x
dz

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