The geometry is defined by the blue surface. x₁-2 cm, x2=6 cm, x3 10cm and y₁=6 cm. y₁ ус с x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter84: Binary Numeration System
Section: Chapter Questions
Problem 5A
icon
Related questions
Question
For this homework, you need to find twice the location of the centroid of this surface.
The geometry is defined by the blue surface. x₁-2 cm, x₂=6 cm, x3=10cm and y₁=6 cm.
y₁
ус
20₁
J4
x
202
1) Use the integral method to find the location of C.
a) Find the functions y(x) and x(y) of the 3 lines.
b) Using one integral, find the area of the surface.
c)
Using integrals, find xc and yc, the location of the centroid of the surface.
2) Use the composite bodies method to find the location of C
a) Find the area of each usual shape and the total area.
b) Find the location of the centroid of each shape.
c) Find xc and yc, the location of the centroid of the surface.
In the box below enter xc, the abscissa of the centroid C in cm, with 2 decimals.
Transcribed Image Text:For this homework, you need to find twice the location of the centroid of this surface. The geometry is defined by the blue surface. x₁-2 cm, x₂=6 cm, x3=10cm and y₁=6 cm. y₁ ус 20₁ J4 x 202 1) Use the integral method to find the location of C. a) Find the functions y(x) and x(y) of the 3 lines. b) Using one integral, find the area of the surface. c) Using integrals, find xc and yc, the location of the centroid of the surface. 2) Use the composite bodies method to find the location of C a) Find the area of each usual shape and the total area. b) Find the location of the centroid of each shape. c) Find xc and yc, the location of the centroid of the surface. In the box below enter xc, the abscissa of the centroid C in cm, with 2 decimals.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning