Statics Exam - 1

Vocab/Formulas I should know

Center of Gravity (x)

x̄ = (∫x dW)/W

Center of Gravity (y)

ȳ = (∫y dW)/W

Center of Mass (x)

x̄ = (∫x dm)/M

Center of Mass (y)

ȳ = (∫y dm)/M

Center of area, volume, etc. (x)

x̄ = (∫x dA)/A, replace A with appropriate variable

Center of area, volume, etc. (y)

ȳ = (∫y dA)/A, replace A with appropriate variable

x̄ for a triangle

idk yet

x̄ quarter circle

4r/3π

x̄ semi circle

0

x̄ for a semi parabolic shape

3a/8

x̄ for a parabolic shape

0

x̄ parabolic spandrel

3a/4

ȳ for a triangle

h/3

ȳ for a semi parabolic shape

3h/5

ȳ for a parabolic spandrel

3h/

ȳ for a parabolic shape

3h/5

ȳ quarter circle

4r/3π

ȳ semi circle

4r/3π

area of triangle

bh/a

area of a quarter circle

πr²/4

area of a semi circle

πr²/2

area of a semi parabola

2ah/3

area of a parabolic shape

4ah/3