Dinamika Rotasi Dan Kesetimbangan Benda

8/16/2019 Dinamika Rotasi Dan Kesetimbangan Benda

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UNIVERSITAS NEGERI YOGYAKARTA

DINAMIKA ROTASIDAN

KESETIMBANGAN


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STANDAR

KOMPETENSI

PENDAHULUAN

MATERI

CONTOH SOAL

LATIHAN SOAL

PROFIL

DI

NAMIK ARO

TASI

ASSESMEN


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•Dapat mendefnii!an "e#a! t#an$ai, #%ta

te"a# danm%men "a'a.•Dapat men'e&(t!an 'a#at !eeim&an"an t&enda•Dapat menent(!an $eta! titi! &e#at &enda•Dapat men")it(n" m%men !e$em&a&an dan!eeim&an"an

&enda•Dapat men""(na!an #(m( (nt(! men'e$e

pe#maa$a)an

INDIKATOR


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PENDAHULUAN

M%men "a'a

M%men Ine#ia

M%ment(m S(d(t

H(!(m Ke!e!a$an M%ment(mS(d(t

H(!(m II Ne*t%n Ge#a! R%tai

Ene#"i Kineti! R%tai

MATERI INTI

KESETIMBANGANBENDA

ID

PENGAKESET

NGBEN


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MOMEN GAYA / TORSI()

S(at( "a'a pada &enda 'an" men'e&a&!an &enda te#e&(t dapat me$a!"e#a! #%tai

T%#i me#(pa!an pe#!a$ian "a'a /0 den"an $en"an m%men #0, den"an $em%men me#(!an a#a! te"a! $(#( "a'a den"an p%#% p(ta#n'a.

r

F

τ =r (Fsinθ)

r

F

τ =(rsinθ) F


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MOMEN INERSIA I0

M%men Ine#ia me#(pa!an (!(#an m(da) tida!n'a (at( &enda&e#%tai te#)adap (m&(n'a.

M%men ine#ia (nt(! pa#ti!e$ &e#maa m 'an" &e#%tai te#)adap titi!p%#%n'a

#

m I 3 m%men ine#ia !" 0m 3 maa pa#ti!e$ !"0# 3 a#a! pa#ti!e$ !e (m&( p(t

BE


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BE

MOMEN INERSIA PADA BENDA TEGAR


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BE

HUKUM KEKEKALAN MOMENTUM S(d(t

Bn!i H"# K$"$"%&%n M'#$n# S

“ Jika tidak ada momen gaya luar yang bekerja pada benda, maka

momentum sudut benda adalah tetap “

66


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BE

HUKUM II NE*TON UNTUK GERAK ROTASI

Ga'a 'an" dapat menim&($!an "e#a! #%tai a!an mem&e#i!an

pe#4epatan tan"enia$ .

Be#daa#!an H(!(m II Ne*t%n pada "e#a! t#an$ai, ma!a didapat!an 7

F = #+

F = #+r+

F+r = #+r+

I 3 M%men Ine#ia m pe#4epatan (d(t #ad50

H(!(m II Ne*R%tai


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Ene#"i Kineti! R%tai

Pada &enda 'an" &e#%tai 7

Pada &enda 'an" men""e$indin" 7

Me$a!(!an "e#a! T#an$ai Me$a!(!an "e#a! #%tai

3


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BE

DINAMIKA ROTASI

1. 6/ 3 m

2. 6 3 I Unt(! "e#a! #%tai

Unt(! "e#a! t#an$ai


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BE

KESEIMBANGAN

1. Keeim&an"an Pa#ti!e$ 5 titi! mate#i

,, #e($tan "a'a pada a#a) (m&( 8 ada$a) 9

,, #e($tan "a'a pada a#a) (m&( ' ada$a) 9

2. Keeim&an"an Benda Te"a#

,F = -, #e($tan "a'a $(a# 'an" &e#!e#a pada &enda ama den"an 9

(nt(! (m&( 8 dan '

, = -, #e($tan m%men "a'a $(a# te#)adap em&a#an" titi! aa$ ama

den"an 9 (nt(! &enda 'an" men"a$ami !eeim&an"an #%tai


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.B$n% $%r i"%%"%n 0$r%% %"$s$i#0%n%n s%i" 1i"% 1#&%2

!%n 0$"$r1% 3%% 0$n% i s%#% n'& %n 1#&%2 'rsi $r2%%3 s$#0ii" 3%% 0$n% $%r i s%#% $

n'&+4

KESETIMBANGAN BENDA TEGAR


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B$n% $%r !%i 0$n% !%n 1i"% i"$n%n "$#i%n %!%n!% i2i&%n"%n 0$n

"r%nn!% i%" 0$r0%2+ T$n s%1% %0$"$r1% 3%% 0$n% $rs$0 0$s%rn!%

0%%s "$5%1%r%n s$2in% 3$n%r2 $rs$0 i%" #$n%"i0%"%n "$rs%"%

0$n% !%n i"$n%in!%6 %n 3$r& iin% 0%25% 0$n% i s$niri $rss3%ri"$&73%ri"$& "$8i&+


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P%ri"$& !%i "r%n %% 0$n" "$0$n%6 #is%&"%n s%1% 3%ri"$& i

%#0%r"%n 0$r3% 0$n% ii"

P%ri"$& i"%%"%n s$i#0%n 1i"% 1%!% !%n 0$"$r1% 3%% 3%ri"$& s

$n%n n'&6 %n 1i"% i&is %&%# 03$rs%#%%n %"%n i%3% s$3$ri i

( H"# I N$5'n )

0 F =∑


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9i"% 1#&%2 %!% !%n 0$"$r1% 3%%3%ri"$& s%#% $n%n n'& #%"% 3%r"$#n"in%n !%i :

;+ B$n% %&%# "$%%%n i%#+


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P$rs%#%%n i %%s %3% ir%i"%n #$n1%"'#3'n$n %!% !%i $r2%%3 s#0 6! %n s#0 > 6 i#%n% "'#3'n$n $r2%#%sin7#%sin s#0 !%i :

;+T$r2%%3 s#0 i&is #$n1%i

i&is #$n1%i

0 F x =∑

0 F y =∑

0 F z =∑


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K$s$i#0%n%n s%i" %3% i0$%"%#$n1%i i%6 !% s$0%%i 0$ri"+

•K$s$i#0%n%n S%0i&K$s$i#0%n%n s%0i& i%n%i $n%nn%i"n!% &$%" ii" 0$r% 0$n% 1i"% 0%!% 3$n%n+ S$$&%2 %!%3$n%nn!% 2i&%n6 0$n% %"%n "$3%% "$%%%n s$#&%+ C'n'2 0$n% !#$#i&i"i "$i#0%n%n s%0i& i %%&%#%&%s+


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• K$s$i#0%n%n Ini@$r$n (N$r%&)K$s$i#0%n%n n$r%& i%n%i $n%n 0$r0%2n!% 3'sisi ii" 0$r% 0$n% s$0

%n s$s%2 i0$ri %!% 3$n%n+Bi%s%n!%6 s$$&%2 %!% 3$n%nn!%0$n% i%" "$#0%&i 3%% "$"%n s$C'n'2 0$n% !%n #$#i&i"i "$i#0%nn$r%& %%&%2 s$0%2 si&in$r !%n i&$i &%n% %%r+


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C'n'2 S'%&

Se&(a) i$inde# pea$ &e#maa 19 !" &e#ada diata pe#m(!aan 'an" !aa# dita#3 :9 N epe#ti dipe#$i)at!an "am&a# &e#i!(t ;

Tent(!an pe#4epatan "e#a! i$inde# i!a a#i


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LATIHAN SOAL

1.S$0%2 0'&% 3$1%& 0$r#%ss% < " #$n$&inin 3%% 0i%n #ir

$n%n "$#irin%n $r2%%3 2'ri>'n%& %ri "$ini%n #+

P$rn!%%%n 0$ri" !%n 0$n%r %%&%2 :

;+ K$8$3%%n 0'&% "$i"% s%#3%i 3%% %s%r 0i%n #irin %%&%2

#/s


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2.

BE

S$0%2 r'% 3$1%& #$#i&i"i #'#$n in$rsi% " %&%# "$%%%n i%#

S$0%2 #'#$n %!% s$0$s%r N# 0$"$r1% 3%% r'% $rs$06 #%

0$s%r 3$r8$3%%n sr !%n i%&%#i r'% %%&%2 +++

A. 9,: #ad5

B. 9,@ #ad5

?. 1,9 #ad5

D. 1,: #ad5

E. 2,9 #ad5

LATIHAN SOAL


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LATIHAN SOAL

=.

BE

S$'r%n 3$n%ri 0%&$ #$#i&i"i #'#$n in$rsi% ;< " "$i"% "$%

%n%nn!% $r$n%n %n ?6 " "$i"% "$% &$n%nn!% #$r%3%

02n!%+ P$n%ri 0$r3%r 3%% "$&%1%n 6 r%/s "$i"% "$%

%n%nn!% $r$n%n+ S%#0i& $%3 0$r3%r6 "$% &$n%nn!%

ir%3%"%n "$ 02+ A"i0%n!% &%1 3%r%n #$n1%i +++

A. @9 #ad5

B. @ #ad5

?. 1@ #ad5

D. > #ad5

E. = #ad5


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LATIHAN SOAL

BE

:.S$0%2 0%%n Y !%n 0$r%n!% ;- N 0$r#3 3%% $#0'" i

B%%n i %2%n s$8%r% 2'ri>'n%& '&$2 %!% F !%n 0$"$r1% i Y %

#$#0$n" $r2%%3 $ri"%& s$3$ri i n1""%n '&$2 %#0%r+

B$r%3% 0$s%r F +++

+

A. 29,9 N

B. =,>> N

?. @, N

D. :,99 N

E. 19,9 N


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LATIHAN SOAL

BE

.S$0%2 %n% 2'#'$n $n%n 3%n1%n L i%# 0$rs%n%r 3%%

$#0'" !%n &i8in i%%s &%n%i !%n "%s%r $n%n "'$si$n $s$"%

s%is %n%r% &%n%i %n %n% %%&%2 + 9i"% %n% #$#0$n" s

$3% s%% %"%n $r$&in8ir6 0$s%r s %%&%2 +++

L

dindin"

A. 3

B. tan 3 2

?. tan 3

D. Sin 3

E. ?% 3


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9A*ABAN KAMU SALAH

1

2

>

:


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ASSESMENT


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1. T%n"!at panan" 2 m ((n"n'a di!$em padtem&%!, dan ((n" t%n"!at 'an" $ain di&ee4a#a te"a! $(#( e&ea# :9 N, )it(n"$a"a'a;

2. R%da pene#( mein &(&(t memi$i!i diame

4m danmaa > !". Be#p(ta# den"an !e4epatan 1

#pm.Be#apa m%men ine#ian'aC

ASSESMENT

? T " &i i" 0 0 i 0 2


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?+ T$n"%n $%n%n %&i 3$ni"% 0$0%n i 0%5%2

?-- --

T


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K$s$i#0%n%n s%i" %3% i0$%"%#$n1%i i%6 !% s$0%%i 0$ri"+

•K$s$i#0%n%n S%0i&K$s$i#0%n%n s%0i& i%n%i $n%nn%i"n!% &$%" ii" 0$r% 0$n% 1i"% 0%!% 3$n%n+ S$$&%2 %!%3$n%nn!% 2i&%n6 0$n% %"%n "$

3%% "$%%%n s$#&%+ C'n'2 0$n% !#$#i&i"i "$i#0%n%n s%0i& i %%&%#%&%s+


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PROFIL

DESTIA NUR/ADHILAH

1=>922=19=20

LATI/ AUHARI1=>922=19==0

Dinamika Rotasi Dan Kesetimbangan Benda

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