Chapter_09_1

# Chapter_09_1 - Chapter9 Centroidsand CenterofGravity...

This preview shows pages 1–10. Sign up to view the full content.

03/16/10 Chapter 9 - Centroids 1 Chapter 9 Centroids and  Center of Gravity

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
03/16/10 Chapter 9 - Centroids 2
03/16/10 Chapter 9 - Centroids 3 Objectives To discuss the concept of the center of  gravity, center of mass, and centroids  (centers of area). To show how to determine the location of the  center of gravity and centroid for a system of  particles and a body of arbitrary shape. To use the theorem of Pappus and Guldinus  for finding the area and volume for a surface  of revolution.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
03/16/10 Chapter 9 - Centroids 4 Center of Gravity The center of gravity G is a point which locates the resultant weight of a system of particles. The weights of the particles is considered to be a parallel force system. The system of weights can be replaced by a single weight acting at the Center of Gravity.
03/16/10 Chapter 9 - Centroids 5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
03/16/10 Chapter 9 - Centroids 6
03/16/10 Chapter 9 - Centroids 7 = = n 1 i i R W W Total Weight n n 3 3 2 2 1 1 R R W x ~ W x ~ W x ~ W x ~ W x + + + = x location: n n 3 3 2 2 1 1 R R W y ~ W y ~ W y ~ W y ~ W y + + + = y location: n n 3 3 2 2 1 1 R R W z ~ W z ~ W z ~ W z ~ W z + + + = z location:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
03/16/10 Chapter 9 - Centroids 8 = = = = = = = = = n 1 i i i n 1 i i n 1 i i i n 1 i i n 1 i i i n 1 i i W W z ~ z W W y ~ y W W x ~ x particle i the of weight W particle i the of s coordinate z ~ , y ~ , x ~ gravity of center the of s coordinate z , y , x th i th i i i
Chapter 9 - Centroids 9 = = = = = = = = = n 1 i i i n 1 i i n 1 i i i n 1 i i n 1 i i i n 1 i i m m z ~ z m m y ~ y m m x ~ x particle

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 58

Chapter_09_1 - Chapter9 Centroidsand CenterofGravity...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online