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
.
.
.
