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8/9/2019 LEC 23 (Planar Kinematics 051)
1/19
King Fahd University of Petroleum &Minerals
Mechanical Engineering
Dynamics ME 201
B
Dr! Meyassar "! #l$%addad
ecture ' 2(
8/9/2019 LEC 23 (Planar Kinematics 051)
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)ourse coverage
Kinematics of particle in various motion. (Chapter 12)
Force and acceleration. (Chapter 13)
Work and ener! relations. (Chapter 1")
#mpulse and $omentum. (Chapter 1%)
Kinematics of a riid &odies. (Chapter 1')
Force and acceleration of a riid &odies . (Chapter 1)
Work and ener! relations of a riid &odies. (Chapter 1)
#mpulse and $omentum of a riid &odies (Chapter 1*)
8/9/2019 LEC 23 (Planar Kinematics 051)
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Chapter 1' +lanar Kinematics of a ,iid -od!
&/ective
0o classif! the various t!pes of riid&od!.
0o investiate riid&od! translation and
sho ho to anal!e motion a&out a fi4ed
a4is.
8/9/2019 LEC 23 (Planar Kinematics 051)
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,iid-od! $otion
0!pes of riid &od! planar motion5
0ranslation
,otational a&out fi4ed a4is
6eneral plane motion
8/9/2019 LEC 23 (Planar Kinematics 051)
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0ranslation
7ver! line sement on the &od! remains parallel to its oriinal direction
durin the motion
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,otation a&out fi4ed a4is
8ll particles of the &od! move alon circular paths
e4cept those hich lie on the a4is of rotation
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6eneral plane motion
Com&ination of translation and rotation
8/9/2019 LEC 23 (Planar Kinematics 051)
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74ample
,ectilinear translation ,otation a&out a fi4ed a4is
Curvilinear translation6eneral plane motion
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0ranslation
ABAB /rrr +=
+osition
AB
AB
ABAB
const
dtd
vv
.r
/rvv
/
/
=
=
+=9elocit!
8cceleration
AB aa =
8ll points move ith same velocit! and acceleration
8/9/2019 LEC 23 (Planar Kinematics 051)
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:ummar! chapter 12 0ime dependent acceleration
dt
dsv =
)(ts
2
2
dt
sd
dt
dva ==
dvvdsa =
Constant acceleration
tavvc
+=0
2
002
1tatvss
c++=
)(2 0202 ssavv c +=
8/9/2019 LEC 23 (Planar Kinematics 051)
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,otation 8&out a Fi4ed a4is
For ;ine
8nular +osition ( )
8/9/2019 LEC 23 (Planar Kinematics 051)
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==dt
d
8nular velocit! ( )?the time rate of chane in the anular position@
==dt
d
8nular acceleration
?the time rate of chane of the anular velocit!@
==2
2
dt
d
> f()
dd =
8/9/2019 LEC 23 (Planar Kinematics 051)
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Constant 8nular 8cceleration
)(2 0202 += c
tc
+= 0
2
002
1tt
c ++=
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Comparison
)(2
2
1
0
2
0
2
2
00
0
+=
++=
+=
c
c
c
tt
t
dt
dsv =)(ts
2
2
dt
sd
dt
dva ==
dvvdsa =
tavvc
+= 0
2
002
1tatvss
c++=
)(2 02
0
2ssavv
c
+=
dt
d=
2
2
dt
d
dt
d ==
dd =
)(t
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8cceleration
ta
dt
d= ( )r
dt
d=
dt
dr
= r=
ran
2
= r
r 2)(
= r
2
=
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2211 rrS ==
2211 rr ==
2211 rra ==
r1 r2
s B vB a
r1
r2
8/9/2019 LEC 23 (Planar Kinematics 051)
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74ample 1'1
,est
at> "t ms2
>D
>D
ratP =)(
2/20
)2.0()4(
sradt
t
=
=
tdt
d20==
sradt
dttd
t
/10
20
2
0 0
=
=
210 tdt
d==
radt
dttd
t
3
0 0
2
33.3
10
=
=
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