Based on the shaded region shown in Figure 4a: (a) Determine the centroid of the shaded region. State the final answer as a coordinate. Clearly indicate how the area is divided into segments. (b) Determine the moment of inertia about y-axis. Clearly specify all equations used in the calculation. Clearly indicate how the area is divided into segments. Based on the shaded region shown in Figure 4b: (c) Determine the moment of inertia about x-axis by using the horizontal element for the integration. 1.5 m 5 m 2- -3 4 m 6 m 2 m 6 m Figure 4a y = -hx +h Figure 4b

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Do all the parts
Based on the shaded region shown in Figure 4a:
(a) Determine the centroid of the shaded region. State the final answer as a
coordinate. Clearly indicate how the area is divided into segments.
(b) Determine the moment of inertia about y-axis. Clearly specify all equations used in the
calculation. Clearly indicate how the area is divided into segments.
Based on the shaded region shown in Figure 4b:
(c) Determine the moment of inertia about x-axis by using the horizontal element for the
integration.
1.5 m
5 m
2-
-3
4 m
6 m
2 m
6 m
Figure 4a
y
h
y = -hx +h
b
Figure 4b
Transcribed Image Text:Based on the shaded region shown in Figure 4a: (a) Determine the centroid of the shaded region. State the final answer as a coordinate. Clearly indicate how the area is divided into segments. (b) Determine the moment of inertia about y-axis. Clearly specify all equations used in the calculation. Clearly indicate how the area is divided into segments. Based on the shaded region shown in Figure 4b: (c) Determine the moment of inertia about x-axis by using the horizontal element for the integration. 1.5 m 5 m 2- -3 4 m 6 m 2 m 6 m Figure 4a y h y = -hx +h b Figure 4b
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