1. What do you mean by Centroid?2. What do you mean by Centre of Gravity? 3. What will be the possible sources of error which can contribute to a big percent difference for this experiment? EXPERIMENT STable 1. Drawing of individual sectionsCENTROID OF A SECTIONSection.1Section.3OBJECTIVESTo find the centroid of the given section and to verify the results with the theoretical values.APPARATUS REQUIREDSecetion.2Section.4THEORY1. What do you meen by Centroid?2. What do you mean by Centre of Gravity?TABULATIONTable 2. Data table for Theoretical MethodX-coordinatey-coordinateArea, A(mm)A(mm')A y(mm')Section(mm)(mm)SKETCH OF PLATE WITH DIMENSIONS= bo x55= 3300 mm275 mm=33eox 27,5 33cox 195= 9075 mm 6436e mm1645312,5m1704625mm 8Z5mm112,5 mm1279687,522 See mm 145 mm200 min36250 me 50to po mm50455ΣE4s,-1732937s 2798812,516517520425mm14 66 + CALCULATIONSEquation for Theoretical Center of gravity coordinates:Ez-A. 1732937,5 , 84,8 mmRo425278912,5204257 om 137, 02 mm *RESULTSTable 3. Comparison of ResultsSectionExperimental Center ofGravity (Kep, Yenp)Theoretical Center ofPercent DifferenceТуреGravity (Xten, ythes)(%i, %9)I-section (87, 141)(163,36 ,0,76)(85,140)OBSERVATIONS1. What will be the possible sources of error which can contribute to a big percent difference forthis experiment?CONCLUSION

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1. What do you mean by Centroid? 2. What do you mean by Centre of Gravity? 3. What will be the possible sources of error which can contribute to a big percent difference for this experiment

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.38P: The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the...

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

1. What do you mean by Centroid?
2. What do you mean by Centre of Gravity?

3. What will be the possible sources of error which can contribute to a big percent difference for this experiment?

EXPERIMENT S
Table 1. Drawing of individual sections
CENTROID OF A SECTION
Section.1
Section.3
OBJECTIVES
To find the centroid of the given section and to verify the results with the theoretical values.
APPARATUS REQUIRED
Secetion.2
Section.4
THEORY
1. What do you meen by Centroid?
2. What do you mean by Centre of Gravity?
TABULATION
Table 2. Data table for Theoretical Method
X-coordinate
y-coordinate
Area, A
(mm)
A
(mm')
A y
(mm')
Section
(mm)
(mm)
SKETCH OF PLATE WITH DIMENSIONS
= bo x55
= 3300 mm275 mm
=33eox 27,5 33cox 195
= 9075 mm 6436e mm
1645312,5m
170
4625mm 8Z5mm
112,5 mm
1279687,5
2
2 See mm 145 mm
200 min
36250 me 50to po mm
50
4
55
Σ
E4s,-
1732937s 2798812,5
165
175
20425mm
14 66 +

CALCULATIONS
Equation for Theoretical Center of gravity coordinates:
Ez-A. 1732937,5 , 84,8 mm
Ro425
278912,5
20425
7 om 137, 02 mm *
RESULTS
Table 3. Comparison of Results
Section
Experimental Center of
Gravity (Kep, Yenp)
Theoretical Center of
Percent Difference
Туре
Gravity (Xten, ythes)
(%i, %9)
I-section (87, 141)
(163,36 ,0,76)
(85,140)
OBSERVATIONS
1. What will be the possible sources of error which can contribute to a big percent difference for
this experiment?
CONCLUSION

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