The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x a 2 -2 √7²² 'V2' 1 + y² 1 + y² The length of the beam is /= 15 feet (see figure). V = x = W 1. X = 2 y = 0, and y = 3 2 / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your ft3 3
The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x a 2 -2 √7²² 'V2' 1 + y² 1 + y² The length of the beam is /= 15 feet (see figure). V = x = W 1. X = 2 y = 0, and y = 3 2 / ft (a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your ft3 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet.
2
-2
1+ y²¹
1 + y²
The length of the beam is / = 15 feet (see figure).
X =
V =
W =
X =
2
(x, y) =
I
y = 0, and y = 3
2
/ ft
+
3
(a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.)
ft³
lb
X
(b) Find the centroid of a cross section of the beam. (Round your answers to two decimal places.)
(
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