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Lab Experiment #2
Pendulums
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Group Members: George Arias, Edwin Campero, Rafael Cardenas, and
Salvador Rocha.
Objective:the purpose of this experiment is to find the relation
between a simple pendulum
period vs. length. Then with both simple and phsical pendulum
find a relationship between
period vs. angle, and finall to observe the characteristics of a
coupled pendulum.
Equipment used:meter stic!, pendulum bubs, phsical pendulums,
clamps, strings, rods, and
stopwatch.
Theor:A simple pendulum consists of a point mass hanging from a
fixed support b a light
spring or massless rod. "hile, a phsical pendulum is a pendulum
for which a mass cannot be
concentrated at a point. The rod or string has a mass and cannot
be considered a singlependulum.
DATA:Simple Pendulum
Length(m)
Number ofcycles
Time (s) Period (s) T^2 (s^2)
0.10 12 .! 0."# 0.$#$
0.20 12 11."" 0.% 0.%!2
0.&0 12 1&."! 1.1$ 1.&1$0.#0 12 1$.$1 1.2% 1.!"1
0.$0 12 1".01 1.#2 2.00%
0.!0 12 1%.%2 1.!! 2."$!
'estit Line *+u,tion for Period (s) -s. Length (m) y/ 0.#"%$ln()
1."#2
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0.10
0.10
1.00
10.00
f() / 0.# ln() 1."
Period (s) Vs Length (m)
Length (m)
Period (s)
'estit Line *+u,tion for Period T^2 (s^2) -s. Length (m) y /
#.1$"1 0.0"%
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0.00 0.10 0.20 0.&0 0.#0 0.$0 0.!0 0."00.000
0.$00
1.000
1.$00
2.000
2.$00
&.000
f() / #.1! 0.0%
Period T^2 (s^2) Vs Length (m)
Length (m)
Period T^2 (s^2)
Simple Pendulum ied Length of 0.#0 m ith ,ngle -,ri,tions
3ngle (4) Number ofcycles
Time (s) Period (s) 3ngle520
20 12 1$."$ 1.&1 1
#0 12 1!.&& 1.&! 2
!0 12 1.22 1.$2 &
0 12 1%.&& 1.!1 #
100 12 20.00 1.!" $
Physic,l Pendulum
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3ngle (4) Time (s) Period(s)
3ngle5 1$
1$ #.1! .&2 1
&0 #.&2 .!# 2
#$ #.! %.&! &!0 #."2 %.## #
"$ $.0 10.1! $
%0 $.#$ 10.%0 !
10 20 &0 #0 $0 !0 "0 0 %0 100 1100
0.1
0.2
0.&
0.#
0.$
0.!
0."
0.
Period/Small-angle period
3ngle (4)
Period/small-angle period
6ouple Pendulums
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Norm,l7ode 81
Length(m)
Number of6ycles
Time (s) Period (s) re+uency(9:)
0.$ 10 1$.0# 1.$0# .!!
0. 10 1$.1& 1.$1& .!!Norm,l
7ode 82Length
(m)Number of
6yclesTime (s) Period (s) re+uency
(9;)0.$ 10 1#.1& 1.#1& ."1
0. 10 1&.00 1.&00 ."!
Results:
