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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
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
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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.)

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: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=
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.
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.
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