# 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]

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 .

.

( ) .

(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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