Plot MG actual against Angle 0 at different positions of sliding mass. Explain your finding. What is MG when is zero? Does the position of the metacenter depend on the position of the center of weight (G position)? Does the metacentric height vary with the angle of heel?

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.36P: The coeffient of static friction between the uniform bar AB of weight W and the ground is 0.45. Find...
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STABILITY OF FLOATING BODIES. Can you please help me analyze and answer the guide questions on top of the photo for the table with Distance of movable, xm Left of center.
1. Plot MG actual against Angle 0 at different positions of sliding mass. Explain your finding.
2. What is MG when 0 is zero?
3. Does the position of the metacenter depend on the position of the center of weight (G position)?
4. Does the metacentric height vary with the angle of heel?
Trial No.
1
2
31
4
5
Trial No.
1
2
3
4
5
Distance of
Movable, xm
Right of the
Center
10
20
30
50
70
Distance of
Movable, xm
Left of the
Center
10
20
30
50
70
Angle of
Heel, 8
1.5
3.5
4.5
7.9
10.4
Angle of
Heel, 8
1.5
3.4
5.1
8.4
11.7
Metacentric
Height
MGMB0 - GB0
(mm)
1.325536062
1.136173768
1.325536062
1,258420312
1.338281601
Metacentric
Height
MGMB0 - GB0
(mm)
1.325536062
1.169590643
1.169590643
1.183514341
1.189583646
Location
of G
GB = MB-MG using h
(compute
d)
461.825685 451.8257
462.0150473 452.015
461.825685 451.8257
461.8928007 451.8928
461.8129394 451.8129
Location
of G
using h
(compute
d)
461.825685 451.8257
461.9816304 451.9816
461.9816304 451.9816
461.9677067 451.9677
461.9616374 451.9616
GB = MB-MG
Length
Width
Depth
M
m
Draft height
Temp
Distance of
sliding mass
to assembled
pontoon
Density
Vs
I
MB
PARAMETERS
350.00 mm
200.00 mm
75.00 mm
1.54 kg W
0.31 kg w
20.00 mm
23.50 °C
223 mm
0.99749 g/mL
1542872.61 mm³
714583333.33 mm
463.15 mm
15.10 N
3.00 N
MG vs Angle of Heel (Right Side)
75.5
75
74.5
2 74
73.5
73
72.5
0
PRELEERDER
79
78
77
76
75
74
73
72
71
70
0.05
0
0.1
Angle of Heel
MG vs Angle of Heel (Left Side)
0.05
0.15
0.1
Angle of Heel
0.15
0.2
0.2
Transcribed Image Text:1. Plot MG actual against Angle 0 at different positions of sliding mass. Explain your finding. 2. What is MG when 0 is zero? 3. Does the position of the metacenter depend on the position of the center of weight (G position)? 4. Does the metacentric height vary with the angle of heel? Trial No. 1 2 31 4 5 Trial No. 1 2 3 4 5 Distance of Movable, xm Right of the Center 10 20 30 50 70 Distance of Movable, xm Left of the Center 10 20 30 50 70 Angle of Heel, 8 1.5 3.5 4.5 7.9 10.4 Angle of Heel, 8 1.5 3.4 5.1 8.4 11.7 Metacentric Height MGMB0 - GB0 (mm) 1.325536062 1.136173768 1.325536062 1,258420312 1.338281601 Metacentric Height MGMB0 - GB0 (mm) 1.325536062 1.169590643 1.169590643 1.183514341 1.189583646 Location of G GB = MB-MG using h (compute d) 461.825685 451.8257 462.0150473 452.015 461.825685 451.8257 461.8928007 451.8928 461.8129394 451.8129 Location of G using h (compute d) 461.825685 451.8257 461.9816304 451.9816 461.9816304 451.9816 461.9677067 451.9677 461.9616374 451.9616 GB = MB-MG Length Width Depth M m Draft height Temp Distance of sliding mass to assembled pontoon Density Vs I MB PARAMETERS 350.00 mm 200.00 mm 75.00 mm 1.54 kg W 0.31 kg w 20.00 mm 23.50 °C 223 mm 0.99749 g/mL 1542872.61 mm³ 714583333.33 mm 463.15 mm 15.10 N 3.00 N MG vs Angle of Heel (Right Side) 75.5 75 74.5 2 74 73.5 73 72.5 0 PRELEERDER 79 78 77 76 75 74 73 72 71 70 0.05 0 0.1 Angle of Heel MG vs Angle of Heel (Left Side) 0.05 0.15 0.1 Angle of Heel 0.15 0.2 0.2
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