10
x()
(H)
a)
b)c)
10
-
80A
+
10A
-80 + 20t
=
xi(2)
=
=
=
-
80 + 40
-80
=
-
40m/s
ii (10)
=
-
80m/g2
2
.
U
=
-
=
re
=
re + re
:. v Ve + VE to
=
9 = + re + volo + re + Vie
:
a
=
=
; -Er
je + roto +: to + rE-Ver
(t-v : 2)
(288 + r:) to
for U=coust
Acceleration
a
+
=
-
Ver
=
corst
=
3
.
↓ h,
D
g
ha
h
Y
↑
,
,
=
10
its
he = 20
b) For
he
=
(h,+ ha)
=
(hith
getting
location
Chitha)-egt
=
[Zhij
it =
·
Time for
An
·:
Ad-A
l
=
,
Unith
=
=
Ux
: Va =
Angle O
;
.
#
D
;
h
=
=
1 04 see
=
26
Un 25
=
.
m
angle
U2 -25
=
Up 2g(h
=
,
+
=
,
tant Va/Ux
=
2as
↳
[U + 29Ch tha)]
=
egt ?
.
+
Uw
2 44
=
[Ux2 Uzj
=
lgt*
1 43 se
C) Touch down Velocity
Ut
-
he horizontal motion
traveling
=
Ad
time
0
l
Egt2
-
a) For touch down
↓
G
(hithc)
=
tantechtha)/Uw
=
ha)
34 84 m/s
.
38 96
.
4
.
⑦
T
U
M
er
er
to
v
=
i
=
L
0
,
=
0
my
mcFroz -T gsing-D
eimiritavil mycosp- &
EOM
e:
+
=
=
=
=
-mrg = -T +mysintmus
mg cost
do =Jdo
-
=
=
Mojodoo
Sin
③
-
mr2
=
-T +
[mr + igF
[mr +igE]o
=2
:
F
=
myg
=
T
=
zmg
for maxT =
; V= L
subst into
41 81
.
·
zwy
5
.
Non conservativeSystem
L
D
I
E
m
T+ V +
tig
T
T2
&
for 0
90
:
Wait
D
=
:
-
>
V
=
Vi
mgh
Enr
V2
,
=
mgL (l-Sino)
mgL + El Ema+ o
*
+
[2(g) E)J
=
Vz
Uz
↳
u
0
=
Traveling
Am a
U3 0
③
D
=
Linear momentum balance
ma
+Est
+ i
=
Mus =Edt
=
ungtI
m[2(g) + -uwyt
: t =
Eng(2 (gL +
-D
=
I
0 +
=
=
,
T2 + V
0
Jo =I
=
Uz
-
>
-
0
=
=
0
6.
③
↓
conservative system
A
g
T + V = T2 + E
&
Ta +V3
For
s
T
r
T2
=
=
0
V = Kl
D
EK
=
=
=
myr ,
,
Vz
=
myr
k
For
T. + V
&
↑
=
Tension
T
, =0
Ts
-
should be zer
msg Use
↓
my ↓ +
=
Tz + V3
,
V = Ekl :
Em[]
,
v
=
my (3r)
Ekl:= mgr + mysr
·: K
=
%
↓ Es
.
my
M
⑦
(MatMb) g
↓
e
McMa
-
(MatM3)g Sing
-
-
(40 + 15)gSin30
a,=
-
4 2
.
(MatMo) a
=
,
(40 + 15) &
M/s2
MogSinG + Nis Sinc + FflosA
-
=
EOM
- MagcosO
+
NBCOSO-EfSing
=
=
MyAniD
MyA32-
(15) (9 81)S30 + NBSzo + MNs(30
.
(15) Abi
=>
&
F
·
⑦
D -
for e
500
For My
ec :
EOM
es
F
:
↑ No
[NA
F
F
My
↓ mag
Ma
Ma
↓ Mag
-
=
(15) a
=
,
(15) (4 2)
(15) (9 81) C30 + Nis(30- MNBS30
.
=>
(15) &x
Two unknowns
-NB
=
=
(15) O
NM
1T8N M
=
0 3
.
.