Lo L · ''l. - users estesi... · Equazioni fondamentali della dinamica di un sistema composito 1....

Si l a ol~ F~ 1Itshy(o 6i~l en-t~ - )

( ~) ~

~ Im r ~ bull c Lo ~- c _ _

o- L l middot l

r c~ _ -

5

______I a o ~=I 1~3

( _~ _ ~+1

+

Ob In ss~~ cntt~ei te ~ d ~ C6lkclde- ~ ie baJ-L~ tetnJt-eihcashy

la-

CL) rnat-c- bah CL

b) mato aIioHttr al ixLn~r~~

I ti

I

fumo

)

I I CL

ptltJta-)

- -

iL

t11 bull--- Ih bull ve ftate f C1Smiddotegravet011e i ~ t-egraveet

ctntAflanah shyF e

pLUtic ~ CJAcKJ CaegravetOke della

bull F

-a

IM = (r-l middot tF ( middot sik = F middot cL

d- IA l

-s -

Equazioni fondamentali della dinamica di un sistemacomposito

1 Il centro di massa del sistema si muove comese tutta la massa fosse concentrata in quel

punto e su di esso agisse la risultante di tuttele forze esterne agenti sul sistema

ΣF=ΣFext=Macm

2 Il moto di rotazione attorno al baricentro ersquodeterminato dalla risultatnte dei momenti di

tutte le forze esterne agenti sul sustema

2 i ~s~~ tI-h~et

~

~F=Obull (

middot l~tL da -(JIMV(umiddot K1Jl~

L Mt(O) shybulll

)

~ F ~ pan at IkoIkLJ-o ck AU1GL

-1ofa ~ fUCT ( ~ -bJf-a let Ika~) ~~ al eedJ-a- dJ Jttasset

-4gt r~~dk~ VLkCtJlAre

=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1

la 11~~1 ---egrave- all I ~~

J

le 6na- ci Ilk cOtf0 hrrd

1tlkCDlato ad fWtt-o p~ VlkCOla

lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l

eeu lbrioshyiIts1ithi le

I ~ ampegrave Dl(O ~ drd ~ di ~IAL((bo-

a( ) I

Il ( ) ad ~fLmiddotfohttE-tUta ~ regrave (dtita i - Jt~ ) cox IV I afr-a f rett ( dLk patu~Cl) LtA ~V(( amp cAc

v~~fA~~ T lt RshyampV2tLUt1f4ta q= gt R

cr

l yd-F 11 ~~ gt

~~ - -

--1t ~

4 uk(dJI1tr H~ s 11F- o

-e-de FmiddotcL F

________ _I__~er~

le -1 bl -trov e (( resl6Qk

6

Va det rnlMcr 1~ ( -e6enptCT)

l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R

bull (~t et (Ic la ltt feactdf [ regravea

B it fOklt - lo ccedilQrrq k T-t ffAlAtlr

middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -

oampM cUllo ~~ T~ ~o M rl

ercio- il tx0 M okYe ~ etJtzr

I fxitr ddla ~1IIN1

I t

~ Il IL

la-

CL) rnat-c- bah CL

b) mato aIioHttr al ixLn~r~~

I ti

I

fumo

)

I I CL

ptltJta-)

- -

iL


ctntAflanah shyF e


bull F

-a


d- IA l

-s -




ΣF=ΣFext=Macm



2 i ~s~~ tI-h~et

~

~F=Obull (


L Mt(O) shybulll

)




=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

- -

iL


ctntAflanah shyF e


bull F

-a


d- IA l

-s -




ΣF=ΣFext=Macm



2 i ~s~~ tI-h~et

~

~F=Obull (


L Mt(O) shybulll

)




=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL




ΣF=ΣFext=Macm



2 i ~s~~ tI-h~et

~

~F=Obull (


L Mt(O) shybulll

)




=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

2 i ~s~~ tI-h~et

~

~F=Obull (


L Mt(O) shybulll

)




=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

)




=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL


=0

cl

M

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

~(j

~lCbtto

+b middoteh = Mtt(L

b -= Mt ~ gt t1~t b

j~1


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL


J



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL



lut ibno

( Ftot -= o M )

~ ~kbhlr

( F~=- o I ~ =1= o )

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

CM

l I

CM J l

l l



a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

a( ) I



cr

l yd-F 11 ~~ gt

~~ - -

--1t ~


-e-de FmiddotcL F

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

________ _I__~er~


6


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL


l

oLUt4

(lJULtcol )

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

--shy

-Hl

Ic

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

I(t

= fB R



middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

middot EILi libM

T~iT

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

bullbullbull

--

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

T= mi-shylt

e (L tCL -_ )

- -



I fxitr ddla ~1IIN1

I t

~ Il IL

- -



I fxitr ddla ~1IIN1

I t

~ Il IL



I fxitr ddla ~1IIN1

I t

~ Il IL

Lo L · ''l. - users estesi... · Equazioni fondamentali della dinamica di un sistema composito 1....

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