#momentsofinertia

[utherciveng]

Geometric Characteristics

Moments of inertia

First moment of area = CENTROID x AREA = Static moment (Syo or Zyo)

Sx = ∫ydA = A*yc ---> yc = Sx/A (yc is the y coordinate of the centroid from the x axis)

Sy = ∫xdA = A*xc ---> xc = Sy/A (xc is the x coordinate of the centroid from the y axis)

Second moment of area; Area moment of inertia

Ix =  ∫∫y2dA (y is the coordinate of the object from the x-axis)

Iy = ∫∫x2dA (x is the coordinate of the object from the y-axis)

Moment of inertia; similar formula but different definition. Uses mass instead of area

Ix =  ∫y2dm (y is the coordinate of the object from the x-axis)

Iy = ∫x2dm (x is the coordinate of the object from the y-axis)

Units of moment of inertia is in [kg m2]

CM - Center of mass of an object.

Parallel Axis Theorem

I = ICM + Ad^2

ICM is the moment of inertia of an object relative to it's center from the analysed axis.

d is the perpendicular distance from an object's center to the axis.

A is the area.

Note: It normally helps to write the object center coordinates down on the diagram as you solve it.

Useful equations to know:

I always find it better to learn from examples. Below are 2 solved examples.

Oh yeah, happy Easter everyone! Hope y'all are having a good one.

Cheers

[pixiedustling]

Before the delicious mess*:. Getting down and dirty with my lover 💉🔪💉💉 #illicit #salome #moi #momentsofinertia #painproofpixie #ariel

[allurist]

momentsofinertia replied to your post: i have a job interview tomorrow at kendra’s...

yaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa interviews!

yaaaaaaaaaaaaaaaaaaaaaaaaaay!

[rtylering]

momentsofinertia replied to your post: Matt is the best person. I love talking to him.

northernlybird fan club

Where is this held? I need to attend.

[baertruth]

momentsofinertia replied to your post: My birthday is near >:)

BAERRRRRRRRRR

momentsofsonertia the wind waker alchemist.

[312-612]

momentsofinertia replied to your post: wow who blogs the whole alphabet what a prick

hahahah hey man I was impressed

lol thanks. <3

[allurist]

momentsofinertia replied to your post: i follow 234 blogs and 167 follow me no 1 luvs me

i feel like thats a pretty good ratio, I follow 650 and have 350

probably

i just feel a little inadequate because some people i follow have small countries following them but they only follow a handful of people

[baertruth]

momentsofinertia replied to your post: let’s hang out today!!!!!!!!!!!!!!!!!!!! I want to hear you and julian make some fancy beats.

uhhh if that mofo ever wakes up!!

You should go over there and punch him in the dick. Ill pay you in high-fives and "good game" ass slaps.

[312-612]

momentsofinertia replied to your post: i think america peaked with teddy roosevelt

fdrrrrrrrrrrrrrrrr. although whatever that quote is about carrying a big stick and being a badass with that ferocious stache of his is pretty rad

speak softly and carry a big stick

[fweakybee]

momentsofinertia replied to your post: my dreams are fucked and make me scared to fall asleep.

smoke some pot. you won’t dream.

I don't have any handy, but I might pick up some when I go home this weekend.

[northernlybird]

Hey new Follower!

momentsofinertia!

Thanks for followin', I'm Matt. Enjoy your stay.

[jessesantana-blog]

momentsofinertia replied to your post: Starting another blog.

url?

Good question. No answer yet.

[omnomnominator]

momentsofinertia replied to your photo: Here’s a picture of me concentrating on mixing...

dude, are you adding mustard to your mac?

It's the only way to eat it. Only thing it's missing is hot dog slices.

[allurist]

momentsofinertia replied to your post: vaginas are so ugly they look like a gaping old...

I don’t know what kind of vagina’s you’ve been looking at

ones that look like gaping old ppl in cloaks apparently

[312-612]

momentsofinertia replied to your post: oh look i didnt use tumblr all day long wtf

omg tumblr missed ya

hey um if you're not a boyager you should become one. all are welcome, and i personally think we would be thankful to have you amongst our rank.