-0.4 m-0.4 m- m+ 1.5 m y A G C 0.1 m 0.2 m 0.2 m 199 B H 0.2 m 0.3 m Fig. 4 As shown in Fig. 4, a pendulum consists of two slender rods, AB and OC, where the mass of rod AB is negligible, and rod OC has a mass of 3 kg/m. Rod AB has two identical rectangular thin plates attached to both ends, and rod OC has a circular thin plate attached at point C. All plates have a mass of 10 kg/m². (a) Determine the location of the center of mass G of the pendulum. (b) Calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through O. Thin disk 1₁ = 4mr² 1,-1,-mr² Thin rectangular plate 1,-m(b² + c²) 1,- mc² 1=mb²
-0.4 m-0.4 m- m+ 1.5 m y A G C 0.1 m 0.2 m 0.2 m 199 B H 0.2 m 0.3 m Fig. 4 As shown in Fig. 4, a pendulum consists of two slender rods, AB and OC, where the mass of rod AB is negligible, and rod OC has a mass of 3 kg/m. Rod AB has two identical rectangular thin plates attached to both ends, and rod OC has a circular thin plate attached at point C. All plates have a mass of 10 kg/m². (a) Determine the location of the center of mass G of the pendulum. (b) Calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through O. Thin disk 1₁ = 4mr² 1,-1,-mr² Thin rectangular plate 1,-m(b² + c²) 1,- mc² 1=mb²
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:-0.4 m-0.4 m-
m+
1.5 m
y
A
G
C
0.1 m
0.2 m
0.2 m
199
B
H
0.2 m
0.3 m
Fig. 4
As shown in Fig. 4, a pendulum consists of two slender rods, AB and OC, where the mass of rod AB is
negligible, and rod OC has a mass of 3 kg/m. Rod AB has two identical rectangular thin plates attached
to both ends, and rod OC has a circular thin plate attached at point C. All plates have a mass of 10
kg/m².
(a) Determine the location of the center of mass G of the pendulum.
(b) Calculate the moment of inertia of the pendulum about an axis perpendicular to the page and
passing through O.
Thin disk
1₁ = 4mr²
1,-1,-mr²
Thin rectangular plate
1,-m(b² + c²)
1,- mc²
1=mb²
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