Summary
of position
summary
+
•
slope →
slope
-
•
constant
•
sheet
slope → cost
steep slope
•
summary of
✓
→
velocity
.
speeding
-
a
up
+V
+ a
velocity
Low
velocity
and acceleration
velocity
.
slowing
down
t
tu
O
-
high
→
slope
shallow
•
.
velocity
-
slope -0 → object at rest
•
graph
velocity
+
→
time
-
-
u
ta
-
a
speeding
-
slowing down
v
up
-
U
•
-
Accel
Accel
.
and
Accel
u
.
can
-
t
do not
be
in
decrease
will
interest
v.
v
curve
necessarily reach
man
together
values
•
of
slope
=
.
opposite
direction to
during time
interval
.
speeding
up
→ tv
and
V
and
-
ta
-
a
or
v→
of
.
Kinematics
✗
^
n
y
out
of the
ni
page
i
>
'
y
s
>
i
×
✓
E
<
Clockwise
=
Anti-clockwise
E
Left handed
coordinate
A- ^^
-
system
Right
handed
coordinate
.
system
A-
yj
- -
-
-
-
- -
-
-
-
71,
I
A
1
;
I
^
i
Ayj
Axi
>
i
>
Axl
Uniform
•
•
Velocity
Velocity
changes
is
Circular
Motion
( direction changes )
perpendicular
{ ,
=
to
OF
( centripetal
acceleration)
.
Period
•
,
T
is
,
for
time
one
( Period )
1- = 2hr
W
=2-n_
w
=
T
complete
.
W=
.
velocity )
( Angular
g-
revolution
v
2¥
=
'
%
=
rw
Relative
Motion
.
Example :
i.
Jw,b
×
Ñwsb
Ñb,g
=
Twig
-
Jb,g
Ñ
.
%,c= %
+
93
✓
Newton's
1kg MI5
-
=
F
net
Angular
I
Newton
=
ME
Law
of
Motion
.
( N)
momentum
is
in
RADS
,
c
rw
( flat curve )
( Banked curve )
Torque
T
I =
where
=I✗
and
angular
acceleration
'
I -7
Mr
Moment
Inertia
Unit
Parallel
Axis
Theorem
( Moment
if
axis
centre
centre
Xcm
=
MX
,
nyt
Mzxz
of
of
Inertia
of rotation
of
mass
)
mass
F
em
=
Miri
M
;
=
-
Miri
M
doesn't
>
of
.
kg .m2
for
object
pass
through
Work
W= F. s
=
Units :
Fxs ✗ COSIO)
work
Nom
-
J
=
( joule)
( scalar )
is
the
area
force
us
(A)
under
a
distance
.
✗
W=f
•
graph
of
f
Fdx
•
✗
Hooke 's
F
Law
K
:
i
K→
S
spring constant
unit →
Force
exerted
F- =
-
by
spring
Kx
kinetic
K :
Wexterna
=
,
Nlm
kf
-
K
=
energy
Emi
lscalar )
unit
-
>
J
OK
;
forces
To
stretch
an
ideal
spring
→
W=£kx2
Energy
Mechanical
E
V =
=
Kt U
Ugt us
if
there
DE
=
is
Kt
friction
0 U
=
-
:
-
fkd
Linear
momentum
unit
Pim v
kg m/s
→
→
K =p
'
F
2m
It
Impulse
OÑ
=
=dp_
F-
-
vector
É=Ñp=§Édt
t
I
don't
confuse
w/
moment
of
inertia
t
Impulse
under
P
,
+
pz
is
force
=
scalar
area
us
.
constant
time
graph
.
.
Elastic
:
-
m
,v
t
,
mzvz ;
;
2
=
MY
+
,
,
2
2
£74 ;t&mzVz;= -12mi
Inelastic :
-
t
mil ;
mzvz ;
,
=
Momentum
mzvzf
MY
,
+
,
,
-1
t
z
,
mzvzf
-
"
Inelastic :
-
M
,
?
+
;
mzvzi
=
(M
.
tmz )Jf
K F-
not
"
"
K F-
not
.
"
"
.
Perfectly
conserved
K E
Mzvzf
conserved
conserved
"
conserved