Dynamic mass from md Applied Force mg (N) Eq. (3.7.4) (g) Time for 20 Period T Oscillations (oscillations/s) (s) md,1 153.77 F1491.3 t₁ 15.95 T₁0.7975 md,2 203.77 F2984 t2 18.41 T2 0.9205 md,3 253.77 F3 1473.8 F3 1473.8 3 20.5 T3 1.025 md,4 303.77 F4 1964 t4 22.24 T4 1.112 md,5 353.77 Fs 2455.5 ts 23.62 T5 1.181 md,6 403.77 F62901.6 t625.34 T6 1.267 md,7 453.77 F73432.8 F73432.8 27.25 T7 1.363 md,8 503.77 F8 3926 t8 28.88 T8 1.444 Generate a log-log plot of your period T vs. dynamic mass ma. This is the same plot that you drew on the log-log graphing paper from your materials pack. Perform these steps: 1. Define lists or numpy arrays that contain your experimental data. For example, md = [0.10, 0,15, 0.20] defines a list of dynamic masses 0.1, 0.15 and 0.20 kg, and T [0.75, 0.83, 0.91] defines a list of periods (in seconds). = 2. Generate a log-log plot of T vs. ma that shows your data as points (not lines!) using plt.loglog() with the 'o' option. The dynamic mass should be on the horizontal (x) axis. 3. Add grid lines for both the "major" and "minor" ticks, and both axes. Look up the documentation of plt.grid() to see how this is done. Remember that you can get the documentation for any command by running it in a cell of its own and appending a question mark, e.g. plt.grid? . 4. The axis tick labels will likely show up in scientific notation (e.g. 6 × 10-2). For our values (mostly in the 0.1...1 kg range), this is undesirable. Add a line plt.rcParams['axes.formatter.min_exponent'] = 2 to your code to fix this. This command tells matplotlib to print all numbers between 10-2 and 10² in normal notation. 5. Don't forget to label the x- and y-axes. Look up your code from the "Projectile Motion" lab if you are unsure how to do this. # define your arrays here # # Dynamic masses # md = # Periods # T = # YOUR CODE HERE raise NotImplementedError()
Dynamic mass from md Applied Force mg (N) Eq. (3.7.4) (g) Time for 20 Period T Oscillations (oscillations/s) (s) md,1 153.77 F1491.3 t₁ 15.95 T₁0.7975 md,2 203.77 F2984 t2 18.41 T2 0.9205 md,3 253.77 F3 1473.8 F3 1473.8 3 20.5 T3 1.025 md,4 303.77 F4 1964 t4 22.24 T4 1.112 md,5 353.77 Fs 2455.5 ts 23.62 T5 1.181 md,6 403.77 F62901.6 t625.34 T6 1.267 md,7 453.77 F73432.8 F73432.8 27.25 T7 1.363 md,8 503.77 F8 3926 t8 28.88 T8 1.444 Generate a log-log plot of your period T vs. dynamic mass ma. This is the same plot that you drew on the log-log graphing paper from your materials pack. Perform these steps: 1. Define lists or numpy arrays that contain your experimental data. For example, md = [0.10, 0,15, 0.20] defines a list of dynamic masses 0.1, 0.15 and 0.20 kg, and T [0.75, 0.83, 0.91] defines a list of periods (in seconds). = 2. Generate a log-log plot of T vs. ma that shows your data as points (not lines!) using plt.loglog() with the 'o' option. The dynamic mass should be on the horizontal (x) axis. 3. Add grid lines for both the "major" and "minor" ticks, and both axes. Look up the documentation of plt.grid() to see how this is done. Remember that you can get the documentation for any command by running it in a cell of its own and appending a question mark, e.g. plt.grid? . 4. The axis tick labels will likely show up in scientific notation (e.g. 6 × 10-2). For our values (mostly in the 0.1...1 kg range), this is undesirable. Add a line plt.rcParams['axes.formatter.min_exponent'] = 2 to your code to fix this. This command tells matplotlib to print all numbers between 10-2 and 10² in normal notation. 5. Don't forget to label the x- and y-axes. Look up your code from the "Projectile Motion" lab if you are unsure how to do this. # define your arrays here # # Dynamic masses # md = # Periods # T = # YOUR CODE HERE raise NotImplementedError()
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Period T vs. Dynamic mass md
Data table attached.
Mass of spring: ms=158.5 grams
Dynamic mass: md=m+mh+ms/3
Transcribed Image Text:Dynamic
mass
from
md
Applied
Force mg
(N)
Eq. (3.7.4)
(g)
Time for 20 Period T
Oscillations (oscillations/s)
(s)
md,1 153.77 F1491.3 t₁ 15.95
T₁0.7975
md,2 203.77 F2984
t2 18.41
T2 0.9205
md,3 253.77 F3 1473.8
F3 1473.8 3 20.5
T3 1.025
md,4 303.77 F4 1964
t4 22.24
T4 1.112
md,5 353.77 Fs 2455.5 ts 23.62
T5 1.181
md,6 403.77 F62901.6
t625.34
T6 1.267
md,7 453.77 F73432.8
F73432.8 27.25
T7 1.363
md,8 503.77 F8 3926
t8 28.88
T8 1.444
![Generate a log-log plot of your period T vs. dynamic mass ma. This is the same plot that you drew on the log-log graphing paper from your materials pack.
Perform these steps:
1. Define lists or numpy arrays that contain your experimental data. For example, md = [0.10, 0,15, 0.20] defines a list of dynamic masses 0.1, 0.15 and 0.20
kg, and T [0.75, 0.83, 0.91] defines a list of periods (in seconds).
=
2. Generate a log-log plot of T vs. ma that shows your data as points (not lines!) using plt.loglog() with the 'o' option. The dynamic mass should be on the
horizontal (x) axis.
3. Add grid lines for both the "major" and "minor" ticks, and both axes. Look up the documentation of plt.grid() to see how this is done.
Remember that you can get the documentation for any command by running it in a cell of its own and appending a question mark, e.g. plt.grid? .
4. The axis tick labels will likely show up in scientific notation (e.g. 6 × 10-2). For our values (mostly in the 0.1...1 kg range), this is undesirable. Add a line
plt.rcParams['axes.formatter.min_exponent'] = 2 to your code to fix this. This command tells matplotlib to print all numbers between 10-2 and 10² in
normal notation.
5. Don't forget to label the x- and y-axes. Look up your code from the "Projectile Motion" lab if you are unsure how to do this.
# define your arrays here
#
# Dynamic masses
# md =
# Periods
# T =
# YOUR CODE HERE
raise NotImplementedError()](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc303f822-5e20-4d30-8920-178170554c96%2F3943a288-7822-41d2-b7a0-e578184fdd0b%2F7f2k21kk_processed.png&w=3840&q=75)
Transcribed Image Text:Generate a log-log plot of your period T vs. dynamic mass ma. This is the same plot that you drew on the log-log graphing paper from your materials pack.
Perform these steps:
1. Define lists or numpy arrays that contain your experimental data. For example, md = [0.10, 0,15, 0.20] defines a list of dynamic masses 0.1, 0.15 and 0.20
kg, and T [0.75, 0.83, 0.91] defines a list of periods (in seconds).
=
2. Generate a log-log plot of T vs. ma that shows your data as points (not lines!) using plt.loglog() with the 'o' option. The dynamic mass should be on the
horizontal (x) axis.
3. Add grid lines for both the "major" and "minor" ticks, and both axes. Look up the documentation of plt.grid() to see how this is done.
Remember that you can get the documentation for any command by running it in a cell of its own and appending a question mark, e.g. plt.grid? .
4. The axis tick labels will likely show up in scientific notation (e.g. 6 × 10-2). For our values (mostly in the 0.1...1 kg range), this is undesirable. Add a line
plt.rcParams['axes.formatter.min_exponent'] = 2 to your code to fix this. This command tells matplotlib to print all numbers between 10-2 and 10² in
normal notation.
5. Don't forget to label the x- and y-axes. Look up your code from the "Projectile Motion" lab if you are unsure how to do this.
# define your arrays here
#
# Dynamic masses
# md =
# Periods
# T =
# YOUR CODE HERE
raise NotImplementedError()
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