Il 20126
Housekeeping Particle Kinematics
:
·
Warm-up
homework on
Friday
Canvas has lecture slides
>
-
:
chain rule
if
:
y
JuJ *
C) 2 x
bjo
d ] 2 xx
:
X (+
d
) What is
if
y
=
x
?
*
0ス
4) taken wh
changing the derivative
in
に紫=
respect to+
what it's
respect
to
& Shrinks
streckes
2
graph
Derivative rules Chain & product
:
>
-
Focused
>
-
Chapter 12
·
dynamics ; 2
on
weeks
of Kinematics
curvilinear Motion
y
, z)
vectors
unit
"
,
j,
(n , t)
normal
-
-
,
(X
regular
-
(r , a)
polar
ǒ
=
? +1
&
o
ぎ
-
후 (y* (1
Parse out
Given
important
values
g
:
-
∞
.
2
β
(
·
y
=
= よ 10”
18-3x2
. . : 10 MIS
11 aty
-
y
100 m
10
=
102
:
X
=
-
11 0211
แ ง I at
at y 100m
×
-
3
-
3
g
2
才
3
x
고 ble
its at
15 8 ]
=
,
there must
be
/gee
σ
)
IJTos
x =
=
3
10
、
·
)곧
3
, 10
_
0原
y = 180
bl 102
e
T
+
.
=
=
*
:
U/sec
18 . 71
if = = = =
=OLX
y 10
=
any
= ?
(
deriv Y =
first
.
2
-
3x ?
武 ( *)
, 70 - 3 × *
x
_
)
(::g =
削
ข้
入
Mechanics 2 , ME2I
사
. 10 3 ( )
-
2
o
=
-
(X^+ x * )
os (x2 Xx)
2
+
メ
光
、い 5
_8 D
5
7
縁
。
M
ーロ
双品
∆
Mechanics 2 , ME2I
Il 20126
>
-
constant acceleration
Act Ac
Assume
=
紫
:
↑acdt =
wit) =
1(+) + V(e)
=
G ( t)
.
Vide
ac
: QcE OCBCE
,
SCO ]
+
)
v(0) ++ as
=
S(H)
5(0) + vLet+
=
?
actt
음 =밤 고옳
③=
w
다 -b
sicts
I
s gion dar
Med
MB wow
as
wasJ
Qc [s ( + 3 sc] : ま
-
we w
v du
[ UCtJI vC } 2}
-
? W [BJ 24 Imc
OCx ]
>
-
as
[ sc }
+
.
SCo 3)
Curvilinear Mation, (1 , t)
tangent a normal both
BCH 3
UCT )
=
U.
3 U
t
more ;
used for
Spinning motion
Checkpoint I
>
-
.
照 5
=
earth
=
dt
are functions of time
* u , and un
it a is don't
℃℃ a
] :=
=
a+ u +
ュ
tU + や 成
:
Buus
(4 +
·
necessarily
·
tv 」
☆
vcentripital acceleration *
un
+
current velo
=ก
*
radius
ui
Λ
un
Angular velo
histance
:
D
=
畿
σ
I
Sweeping out a rotacting
す =℃++
^
=
1 All
}
?
砦
Un
:
dtrad
:
mag of acceleration
ㄱ
kont
orbiting around the sun
⑧
w
=.
00bun
1
I All
v=
&p
Mechanics 2 , ME2I
Il 20126
Checkpoint 2
>
-
:
·
spinning to throw ein object with
someone
consider
targential velecity
U gc
=
·
tangential acceleration
の = 3
2
magnitude
·
=exU+ + #
++
3
=
Pelar Coords
起
?
=
>
-
:
“
畿
Un
U
。 11
が 1 に Vz
5
=
(1 a)
,
want a fixed center of rotation
↑ extends outward that increases counter clockwise from the X-exis
,
Vor
↑
= ( (t)up(t)
+
Sua(t)
:
⑨
Find
:
derivatives of unit vectors
= 8v
:
Va allo
z
。
, 08
dVoa
-
Iu
andnike
.
_
at
Un
&
dur
,
ur
Iur
-(1) - a = ·Three
d
8 = =Fur + raira
℃
=
: 紫
(jur
( ω
+
r
+p
iv)
装
+
) + ( PEWot ^ がら C℃ @ )
(au)
+
reg -
-ra), in + (18 +25 )
-
us
‰
Mechanics 2 , ME2I
Il 20126
Q =
t
^
℃= 52
i
et
j
θ
-
:
10B ト
正
^
=
=
100 +
bs
=
=
200
200