Calculate the centroid of the shape shown given a = 2.3 in. and b=1.4 in. a b klo ㅠ y = b cos(x)
Calculate the centroid of the shape shown given a = 2.3 in. and b=1.4 in. a b klo ㅠ y = b cos(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
9
Transcribed Image Text:Calculate the centroid of the shape shown given a = 2.3 in. and b = 1.4 in.
a
y = b cos(x)
b
Integral Table
π/2
² c f(x) dx = c fő
dx = 1
ST/²
cos x
So
f/² sin(x) dx = 1
/2
: f/² ƒ(x) dx
*π/2
f/² cos² (x) dx = π/4
f/² sin(x) cos(x) dx = 1/2
f/² x cos(x) dx =
π
1
Fill in this table:
Shape Area
Triangle
Cosine
18
Q_y = π Area = fx dA
The centroid of the shape is at x =
Qy
2
y
Q_x = y Area
in. and y=
=
X
Qx
f y dA
in.
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