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Objective Theory - · PDF fileGeneral Physics Lab (International Campus) Department of PHYSICS YONSEI University Lab Manual Physical Pendulum / Torsion Pendulum Ver.20170517

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  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 1 / 12

    [ ]

    ,

    .

    1. (Physical Pendulum)

    (simple

    pendulum) ,

    (physical pendulum)

    .

    1

    .

    .

    (center of gravity) .

    ,

    , ,

    ,

    (restoring torque) .

    = ()( sin) (1)

    . sin

    . sin

    , (1)

    , .

    = () (2)

    1 sin

    . sin .

    Objective

    Theory

    ----------------------------- Reference --------------------------

    Young & Freedman, University Physics (14th ed.), Pearson, 2016 14.6 Physical Pendulum (p.475~477)

    9.4 Energy in Rotational Motion (p.307~312)

    9.5 Parallel-Axis Theorem (p.312~313)

    14.4 Application of SHM Angular SHM (p.471)

    -----------------------------------------------------------------------------

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 2 / 12

    =

    .

    () = = 22

    22 =

    (3)

    (3) = ( )

    , ( ) ( )

    .

    =

    (4)

    = 2

    (5)

    2

    .

    2(b) cm = (1 12 )(2 + 2) ,

    (= ) 2(a)

    cm = (1 12 )2 .

    2

    3

    ,

    . 3

    ,

    cm ,

    .

    = cm + 2 (6)

    (parallel-axis theorem) .

    4(a)

    (5), (6) ( = ) cm = (1 12 )2

    .

    = 22 + 122

    12 (7)

    4(b)

    (5), (6) ( = ) cm = (1 2 )2 .

    = 22 + 22

    2 (8)

    ,

    4

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 3 / 12

    5 50cm

    . 14.4 cm .

    6 10cm

    . 7 cm .

    2. (Torsion Pendulum)

    .

    7

    .

    .

    (restoring torque)

    . ,

    (angular displacement) = .

    (torsion constant) .

    2 , = =

    2/2 .

    = or 22 =

    (9)

    = ( )

    , .

    =

    = 2 .

    =

    (10)

    = 2

    (11)

    7 (steel wire)

    . .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 4 / 12

    1.

    : Capstone

    1 .

    1 .

    1 50N ~ 50N .

    1

    , , . , , , .

    1 500mm , 20mm . 60, 100, 144, 190, 230mm .

    1 100mm . 30, 50, 70, 90mm .

    1 set

    . , .

    (3) ( )

    1 set . 0.8, 1.2, 1.6mm .

    1 .

    Equipment

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 5 / 12

    A (600mm)

    1 set .

    1 .

    /

    .

    0 ~ 2200.00g 0.01g .

    2.

    (1) (Force Sensor)

    .

    ,

    .

    ,

    .

    (2) (Rotary Motion Sensor)

    , , ,

    , ,

    .

    .

    ,

    .

    , ,

    .

    (pinion,) (rack,

    ) ,

    .

    , , .

    3 ,

    10mm, 29mm, 48mm .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 6 / 12

    1.

    (1) .

    .

    (2) .

    230mm

    . (

    .)

    (3) .

    .

    [Rotary Motion Sensor] [Sample Rate] 100.00 Hz

    . (1 100 .)

    [Graph] , [Rotary Motion Sensor]

    [Angle(rad)], [Time(s)] .

    Procedure

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 7 / 12

    (4) .

    0 ,

    .

    [Record]

    .

    5 .

    5~6 [Stop] .

    (5) .

    . ( ,

    0 .)

    [Show coordinate] .

    ( 0 ,

    .)

    5

    .

    (s) = 1(s)

    1

    2

    3

    4

    5

    average(s)

    theory (s)

    = 22 + 122

    12 (7)

    = 500mm

    = 230, 190, 144, 100, 60mm

    (6) .

    = 230, 190, 144, 100, 60mm

    (4)~(5) .

    (7) - .

    (6)

    , [ 5] .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 8 / 12

    ? ? (7) ?

    , ? ?

    2.

    , [ 1]

    .

    = 22 + 22

    2 (8)

    = 100 mm

    = 90, 70, 50, 30 mm

    3.

    (1) .

    .

    .

    .

    / .

    .

    .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 9 / 12

    .

    (2) .

    .

    - () .

    - [Large Pulley (Groove)] .

    - [Change Sign] .

    , .

    .

    .

    - () .

    - [Change Sign] .

    ( .)

    Caution

    ,

    . (

    .)

    Caution

    ,

    . ,

    .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 10 / 12

    .

    .

    [Force(N)] .

    (= 24mm) 3 .

    .

    [Rotary Motion Sensor Angle(rad)],

    ( ) .

    (3) .

    (4) .

    .

    (2)- .

    (5) .

    .

    [Select range(s) ] .

    NOTE

    [ZERO] . (

    .)

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 11 / 12

    [Select curve fits ] [Linear: mt+b]

    .

    - .

    (6) .

    (4)~(5) ,

    .

    4.

    (1) .

    ,

    . (

    , = (1 2 )2

    .)

    (2) .

    [ 3]

    , .

    (

    .)

    (3) .

    [ 1] .

    , [Sample Rate] 200.00 Hz

    500.00 Hz .

    (4) .

    120~180

    . 5~6 .

    ,

    .

    = 2

    (11)

    (5) .

  • General Physics Lab (International Campus) Department of PHYSICS YONSEI University

    Lab Manual

    Physical Pendulum / Torsion Pendulum Ver.20170517

    Lab Office (Intl Campus)

    Room 301, Building 301 (Libertas Hall B), Yonsei University 85 Songdogwahak-ro, Yeonsu-gu, Incheon 21983, KOREA ( +82 32 749 3430) Page 12 / 12

    .

    .

    .

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