# Lecture 22 - Centroids Center of Mass/Gravity Centroid The...

• Notes
• 8

This preview shows pages 1–8. Sign up to view the full content.

12/4/10 Centroids & Center of Mass/Gravity Centroid – The geometric center of an object. 2L/3 x x y y

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

12/4/10 Centroids & Center of Mass/Gravity x y L x 3 2 = L y 3 1 = In general… Centroid only depends on geometry, not density
12/4/10 Coordinates of the centroid , or average position, of an area is… = = A A A A dA ydA y dA xdA x 2 x y y = x2 –x + 1 Determine the x-component of the centroid of the area.

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

12/4/10 In discrete form, or when dealing with a combination of simple shapes… = = A A A A dA ydA y dA xdA x = = i i i i i i i i i i A A y y A A x x Sum of individual centroids times area Sum of areas Centroids of Composite Areas 1 2 x y
12/4/10 12’ 6” 4” 15” 6” 4” 18” 24” ? ? = = x y

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

12/4/10 3” 4” 4” 1” Find the

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

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

Unformatted text preview: location of the centroid. 12/4/10 Centroids & Center of Mass/Gravity Center of gravity vs. Center of mass The point at which the resultant weight of a system of particles acts. Since c.g. depends on the acceleration of gravity, center of mass is a better term to use. Center of gravity of the solar system??? Center of mass is independent of gravity. 12/4/10 c.g. ∑ ∑ ∑ ∑ ∑ ∑ = = = W zW z W yW y W xW x Center of mass ∑ ∑ ∑ ∑ ∑ ∑ = = = m zm z m ym y m xm x 100 lb 300 lb 100 lb (4,8)f t (10,6)f t (5,3)f t Find the center of gravity....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern