Φυσική Γ’ Λυκείου Μηχανική στερεού σώματος2lyk-el-kordel.thess.sch.gr/autosch/joomla15/images/physics/stero... · Φυσική Γ’ Λυκείου

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  • -

    - 1

    (. ).

    ( ).

    .() .()

    (

    )

    R .

    .

    .

    .

    ,

    .

    , 2 2

    .

    =

    .

    u

    2

    R

    .

  • 2

    .

    :

    0 t .

    . (+) (-)

    .

    = 1

    2

    2

    . (

    )

    .

    at

    ,

    .

    , ucm = 0.

    2

    =

    2 s

    .

    0t

    ( )

    2

    0

    2

    ( ).

    .

  • 3

    .. :

    ) ( . () , .()

    . (), . () ,

    (), , . ().

    ) . ()

    (1) (2)

    .

    ) ()

    ) to ()

    ) t1 (E)

  • 4

    x (m) (rad) x=r u ( m/s) (rad/s) u=R cm (m/s2) (rad/s2) cm=R

    . . ucm=dt

    dx cm= dt

    du

    ucm= ,

    cm = .

    F =0 cm = 0

    x = ucm t

    F 0, F = m cm,

    ucm = uo cm t , x = uot 2

    2

    1tacm ,

    cm

    o

    ola

    ux

    2

    2

    cm

    o

    a

    ut ( )

    . dt

    dsu .

    dt

    d

    u =

    u

    . .

    =

    (

    . .)

    r

    uak

    2

    ( . . .)

    t

    aaa k

    dt

    da

    =

    t

    t &

    2

    2

    1tat

  • 5

    :

    .

    . () ()

    () (), () () .

    ( )

    ( )

    ( )

    .

    .

    .

    .

  • 6

    .

    ,

    .

    1 , 2 , ,

    .

    =1+2++

    (..

    ) .

    .

    .

    ( = 0) :

    o

    o .

    ..

    ,

    :

    o

    o

    o

  • 7

    ( = )

    .

    :

    1.

    . ..

    .

    Oxy.

    2.

    .

    3.

    .

    4.

    ,

    Stainer.

    5.

    .

  • 8

    .

    -

    F 0 0

    F = mcm

    cm 0 cm t ,

    cmcm

    u

    t

    2

    0 cm

    1x t t

    2

    = , 0 t ,t

    ucm = R cm = R

    F 0 = 0

    F = mcm

    cm 0 cm t, cm

    cm

    u

    t

    ,

    2

    0 cm

    1x t t

    2

    F = 0 0

    =

    0t ,

    t

    F = 0 = 0

  • 9

    .

    .

    ( )

    r

    , L m r .

    = I

    .

    :

    ) L = . ) L=L1+L2+= 1+2+

    .

    ,

    , .

    L

    dt= = .

    =

    .

    , ,

    dt

    dL

  • 10

    t= ,

    .

    .

    = ,

    .

    .

    , ..

    ,

    . :

    .

    1( ) + + ( ) = 1( ) + + ( )

    =0

    . . .

    dt

    dL

  • 11

    FW

    .

    .

    , .

    ( ).

    ,

    .

    :

    =

    =

    =

    :

    =

    =

    =

    : Ft

    .

    t .

    (...)

    .. .

    .. .

  • 12

    m

    U, ,

    , o

    U = mgh, h

    (U = 0).

    . ..

    .

    () , ,

    ( ,

    , (-).

    (1) (2) (1) = (2)

    = U++ 3

    .

  • 13

    -

    :

    I. -

    ( -y).

    II.

    ..

    .

    ,

    .

    III. . ,

    .

    a.

    b.

    c.

    d.

    IV. ,

    .

  • 14

    ,

    .

    ()

    :

    1.

    .

    ..

    .

    2.

    Oxy.

    3.

    .

    4. , Fx=0 Fy=0

    =0 .

    5. ()=0

    .

    ,

    () = 0 .

    .

  • 15

  • 16

  • 17

    .

    = ,

    t ,

    .

    (.. )

    -,

    .

    .

    (

    )

    .

    o

    .

    o

    0 t 2

    0

    1t t

    2

    .

    o

    .

    o ()

    .

    =0.

  • 18

    .

    .

    o

    .

    o

    .

    .

    .

    =

    =

    ()

    = =

    = (T1 T2)R =

    .

    F = ma = ( =

    = ( =

    .

    .

    -

    .

    .

  • 19

    o ( )

    .

    1 2.

    = 2 F1 =

    ma F2 = ma = 1 & =

    2. .

    -

    .

    :

    = =

    : = =

    .

    ,

    .

    (uo = 0 & o = 0 ).

    :

    uo= ucm-R . ucm = R

    o= cm - R . cm = R

    .

    .

    ( )

    ,

    .

  • 20

    ( )

    .

    ,

    ,

    .

    .

    ,

    .

    ,

    acm ,

    . , R , ,

    .

    o

    (max) . :

    < (max) < sN

    o , :

    cm = R , acm = aR

    o , :

    cm = R , acm = aR =

    ,

    .

    mg

    R

    .

  • 21

    , ,

    . ,

    ,

    .

    ,

    .

    mg ,

    TR

    . ,

    ,

    . ,

    , .

    o

    wx

    .

    o

    .

    o cm

    1. m

    2. R

    3. s

    4.

    .

    .

    o .. ,

    .

    o

    .

    o ,

    (. )

    (...).

  • 22

    o ...

    ,

    .

    ,

    0 .

    =0 w=F.