21
Coupled Pendulums
Observations and Results
Mode 1
Mode 2
Position of
spring from
pivot
l
(cm)
Time(sec)
(for
20
oscillations)
Period T
1
(sec)
Angular
frequency
1
(sec
1
)
Time(sec)
(for
20
oscillations)
Period T
2
(sec)
Angular
frequency
2
(sec
1
)
Table of Observations for Part B
Position of spring
l
= __________________ cm
(Note that this has to be one of the values
Chosen in PART A)
S.No
Time period
between
successive
oscillations
T (sec)
Time
period
between
successive
stops
±
T (sec)
Average
T
(sec)
Average
±
T
(sec)
Angular
frequency
±
²
³
´
µ
Δ

=
T
T
1
1
2
1
²
Angular
frequency
±
²
³
´
µ
Δ
+
=
T
T
1
1
2
2
²
1
2
3
Calculations and Graph
1.
On the same graph paper plot
1
2
/
&
0
2
and
2
2
/
&
0
2
vs.
l
2
.
2.
Obtain the slope of the graph of
1
2
/
&
0
2
vs.
l
2
and hence obtain the spring
constant k of the coupling spring
Slope = 2 k / (mgL) = _____________________
Spring constant k = _______________________dynes / cm
Conclusions:
(One graph paper required).
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 Fall '09
 LIND
 Angular Momentum, Moment Of Inertia, Rigid Body, Rotation

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