Solving Equation 5 for a in terms of the measured quantities x and t gives 2x (Eq. 6) a = t2

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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Attached question 5, along with equation 6.

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 0.010kg mass
difference as a sample calculation.
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 0.010kg mass difference as a sample calculation.
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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