Perform a linear least squares fit with the applied force as the vertical axis and the acceleration as the horizontal axis. the slope of the fit is equal to the total mass (m1 + mZ)exp and the intercept is the frictional force f. Record those and the value of the correlation coefficient r. (This is the calculation that will be performed for the data of the laboratory.)
Perform a linear least squares fit with the applied force as the vertical axis and the acceleration as the horizontal axis. the slope of the fit is equal to the total mass (m1 + mZ)exp and the intercept is the frictional force f. Record those and the value of the correlation coefficient r. (This is the calculation that will be performed for the data of the laboratory.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
100%
Question #7 from screenshot
Perform a linear least squares fit with the applied force as the vertical axis and the acceleration as the horizontal axis. the slope of the fit is equal to the total mass (m1 + mZ)exp and the intercept is the frictional force f. Record those and the value of the correlation coefficient r. (This is the calculation that
will be performed for the data of the laboratory.)

Transcribed Image Text:The following data were taken with an Atwood's machine for which the total mass m1+m2 is kept
constant. For each of the values of mass difference (m2 - m1) shown in the table, the time for the system
to move x=1.000 m was determined.
(т, — т) (kg)
0.010
0.020
0.030
0.040
0.050
t (s)
8.30
5.06
3.97
3.37
2.98
a (m/s?)
(m2 -- m1)g (N)
5. From the data above for x and time t, use Equation 6 to calculate the acceleration for each of the
applied forces and record them in the table above. Show the calculation for the 0.010 kg mass
difference as a sample calculation.
6. From the mass differences (m2 – mị) calculate the applied forces (m2
table above. Use a value of 9.80 m/s? for g. Show the calculation for the 0.010 kg mass difference as a
sample calculation.
m1)g and record them in the
7. Perform a linear least squares fit with the applied force as the vertical axis and the acceleration as
the horizontal axis. The slope of the fit is equal to the total mass (m, + m2)exp and the intercept is the
frictional force f. Record those and the value of the correlation coefficient r. (This is the calculation that
will be performed for the data of the laboratory.)
(m1 + m2)exp =
kg f=

Transcribed Image Text:Solving Equation 5 for a in terms of the measured quantities x and t gives
2x
(Eq. 6)
t2
This laboratory will measure the acceleration for the Atwood's machine for several different values
of the applied force (m2 - m)g using a fixed total mass (m, + m2). Because the pulley is not massless,
some portion of its máss should be included in the total mass. You will be challenged to discover what
fraction of the palley's mass should be included when you analyze the data that you will take in the
laboratory.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY