How does the period of the pendulum change with the mass of the pendulum bob? Explain you observations and how they compare with the pendulum period equation and state what causes any differences

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I know there is no significan t changes in the period but i would love an explanation as to why.

1.) How does the period of the pendulum change with the mass of the pendulum bob? Explain your
observations and how they compare with the pendulum period equation and state what causes
any differences
Transcribed Image Text:1.) How does the period of the pendulum change with the mass of the pendulum bob? Explain your observations and how they compare with the pendulum period equation and state what causes any differences
Data Table A. Variable mass with constant length and amplitude L = 0.40 m and A= Omax= 10°
МOON
Time for 20 Cycles -
T20 (seconds)
EARTH
Mass
Same
Length Amplitude
(m)
Same
Time for 20 Cycles - Period
T20 (seconds)
Period
(kg)
Time for
Time for
(degrees)
one
one
Сycle -
T20/20
Сycle -
T20/20
Trial 1
Trial 2
Trial 1
Trial 2
(seconds)
(seconds)
25.52 25.25 1.269 62.21 61.85 3.102
0.2
0.40
10
25.40 24.91 1.257 59.07 60.95 3.001
0.4
0.40
10
25.42 24.911.258 61.83 62.25 3.102
0.6
0.40
10
25.22 25.20 1.261 62.00 62.33 3.108
25.20 25.571.269 59.98 61.22 3.03
25.10 24.96 1.252 61.94 62.42 3.109
25.30 25.10 1.26 61.20 61.70 3.073
0.8
0.40
10
1.0
0.40
10
1.2
0.40
10
1.4
0.40
10
Transcribed Image Text:Data Table A. Variable mass with constant length and amplitude L = 0.40 m and A= Omax= 10° МOON Time for 20 Cycles - T20 (seconds) EARTH Mass Same Length Amplitude (m) Same Time for 20 Cycles - Period T20 (seconds) Period (kg) Time for Time for (degrees) one one Сycle - T20/20 Сycle - T20/20 Trial 1 Trial 2 Trial 1 Trial 2 (seconds) (seconds) 25.52 25.25 1.269 62.21 61.85 3.102 0.2 0.40 10 25.40 24.91 1.257 59.07 60.95 3.001 0.4 0.40 10 25.42 24.911.258 61.83 62.25 3.102 0.6 0.40 10 25.22 25.20 1.261 62.00 62.33 3.108 25.20 25.571.269 59.98 61.22 3.03 25.10 24.96 1.252 61.94 62.42 3.109 25.30 25.10 1.26 61.20 61.70 3.073 0.8 0.40 10 1.0 0.40 10 1.2 0.40 10 1.4 0.40 10
Expert Solution
Step 1

Given data : 

Lenght of the pendulum = 0.40 m 

Amplutude, A = thetamax = 10°

Mass = variable mass 

To find : 

(a) Variation of period of pendulum with mass. 

(b) pendulum period equation and causes the difference. 

steps

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