1. Measure di and d2 and record the values. 2. Record the total mass, M2, and include the mass of the hanger (5 g) 3. Calculate the magnitude of the force, F2 (weight of the hanging mass). Use your measured values to calculate the moment, t2, produced by the force, F2. Be sure to include the units for each value. d2 Pivot point F, M2 Figure 6.3: Schematic d, (m) d2 (m) M2 (kg) F2 (N) e (N-m) 0.1 0.1 14 (in grams) 30° T2 = Observe: By moving the pulley, you can adjust the angle of the force, F1. Note that when you move the pulley, you also need to move the Spring Scale in order to keep the thread perfectly vertical between the Spring Scale and the pulley. 4. Set the angle of F1 to each of the values shown in the table below. At each angle, move the Spring Scale toward or away from the pulley as needed so that the magnitude of F1 is sufficient to balance the beam. Record the force reading on the Spring Scale in newtons. Angle F, (N) tq = F,d, sin e 30° 0.25 0.3 63° 0.2 65° 0.22 740 0.15 23° 0.5 5. Perform the calculations to aetermine the moment, ti, provided by the Spring Scale, and the percent difference between ti and t2. [The percent difference is the difference of the two moments divided by the average of the two moments.] To provide a consistent mathematical definition of moment, ti and t2 must be determined according to the same formula.
1. Measure di and d2 and record the values. 2. Record the total mass, M2, and include the mass of the hanger (5 g) 3. Calculate the magnitude of the force, F2 (weight of the hanging mass). Use your measured values to calculate the moment, t2, produced by the force, F2. Be sure to include the units for each value. d2 Pivot point F, M2 Figure 6.3: Schematic d, (m) d2 (m) M2 (kg) F2 (N) e (N-m) 0.1 0.1 14 (in grams) 30° T2 = Observe: By moving the pulley, you can adjust the angle of the force, F1. Note that when you move the pulley, you also need to move the Spring Scale in order to keep the thread perfectly vertical between the Spring Scale and the pulley. 4. Set the angle of F1 to each of the values shown in the table below. At each angle, move the Spring Scale toward or away from the pulley as needed so that the magnitude of F1 is sufficient to balance the beam. Record the force reading on the Spring Scale in newtons. Angle F, (N) tq = F,d, sin e 30° 0.25 0.3 63° 0.2 65° 0.22 740 0.15 23° 0.5 5. Perform the calculations to aetermine the moment, ti, provided by the Spring Scale, and the percent difference between ti and t2. [The percent difference is the difference of the two moments divided by the average of the two moments.] To provide a consistent mathematical definition of moment, ti and t2 must be determined according to the same formula.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.43P: The vertical post is supported by two cables (the cable BFC runs over a smooth peg at F) and an...
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![6. Apply the generalized definition of moment (t = Fd sin 0) to the calculation of t2 in step 3
previously. [Hint: What is the angle between the force, F2, and the lever arm, d2?] Does the
calculated value using the generalized definition change the results?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8020229d-895c-469a-9aa5-94e59078dcc9%2F9ee9f8e1-a2cc-46e1-853f-2b17f2f9189f%2Fhq0ycpn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Apply the generalized definition of moment (t = Fd sin 0) to the calculation of t2 in step 3
previously. [Hint: What is the angle between the force, F2, and the lever arm, d2?] Does the
calculated value using the generalized definition change the results?
![1. Measure di and d2 and record the values.
2. Record the total mass, M2, and include the mass of the hanger (5 g)
3. Calculate the magnitude of the force, F2 (weight of the hanging mass). Use your measured
values to calculate the moment, t2, produced by the force, F2. Be sure to include the units for
each value.
d2
Pivot point
M2
Figure 6.3: Schematic
d, (m)
d2 (m)
M2 (kg)
F2 (N)
0 (N•m)
0.1
14 (in grams)
0.1
30°
T2 =
Observe: By moving the pulley, you can adjust the angle of the force, F1. Note that when you move
the pulley, you also need to move the Spring Scale in order to keep the thread perfectly vertical
between the Spring Scale and the pulley.
Set the angle of F1 to each of the values shown in the table below. At each angle, move the
Spring Scale toward or away from the pulley as needed so that the magnitude of F1 is
sufficient to balance the beam. Record the force reading on the Spring Scale in newtons.
4.
Angle
F, (N)
Tq = F,d, sin 0
(t,- 12) + (*, + 1,)/2
30°
0.25
40°
O.3
63°
0.2
65°
0.22
740
0.15
23°
0.5
Perform the calculations to aetermine the moment, t1, provided by the Spring Scale, and the
percent difference between ti and t2, [The percent difference is the difference of the two
moments divided by the average of the two moments.] To provide a consistent mathematical
definition of moment, t1 and t2 must be determined according to the same formula.
5.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8020229d-895c-469a-9aa5-94e59078dcc9%2F9ee9f8e1-a2cc-46e1-853f-2b17f2f9189f%2F7dz9ml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Measure di and d2 and record the values.
2. Record the total mass, M2, and include the mass of the hanger (5 g)
3. Calculate the magnitude of the force, F2 (weight of the hanging mass). Use your measured
values to calculate the moment, t2, produced by the force, F2. Be sure to include the units for
each value.
d2
Pivot point
M2
Figure 6.3: Schematic
d, (m)
d2 (m)
M2 (kg)
F2 (N)
0 (N•m)
0.1
14 (in grams)
0.1
30°
T2 =
Observe: By moving the pulley, you can adjust the angle of the force, F1. Note that when you move
the pulley, you also need to move the Spring Scale in order to keep the thread perfectly vertical
between the Spring Scale and the pulley.
Set the angle of F1 to each of the values shown in the table below. At each angle, move the
Spring Scale toward or away from the pulley as needed so that the magnitude of F1 is
sufficient to balance the beam. Record the force reading on the Spring Scale in newtons.
4.
Angle
F, (N)
Tq = F,d, sin 0
(t,- 12) + (*, + 1,)/2
30°
0.25
40°
O.3
63°
0.2
65°
0.22
740
0.15
23°
0.5
Perform the calculations to aetermine the moment, t1, provided by the Spring Scale, and the
percent difference between ti and t2, [The percent difference is the difference of the two
moments divided by the average of the two moments.] To provide a consistent mathematical
definition of moment, t1 and t2 must be determined according to the same formula.
5.
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