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Moment of inertia formula sheet, Cheat Sheet of Physics

Stratford UniversityPhysics

Formula sheet with Area moments of inertia(tirangle, rectangle, circle, thin-walled ring) and mass moment of inertia.

Typology: Cheat Sheet

2021/2022

Uploaded on 02/07/2022

paulina
paulina 🇺🇸

4.4

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Formula Sheet Moments of Inertia – AE1103 Statics
Only this sheet may be used at the exam!
Area Moments of Inertia
Triangle: Circle:
J
C
= πR
4
/2
Rectangle: Thin-walled ring
Mass Moments of Inertia
2
1
12
xx yy
I I ml
= =
( )
2 2
2 2
1 1
;
12 12
1
12
xx yy
zz
I mb I ma
I m a b
= =
= +
2 2
1 1
;
4 2
xx yy zz
I I mr I mr
= = =
R
x
y
C
I
x
=
π
R
3
t ;
I
y
=
π
R
3
t;
J
C
= 2
π
R
3
t

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Formula Sheet Moments of Inertia – AE1103 Statics

Only this sheet may be used at the exam!

Area Moments of Inertia Triangle: Circle:

JC = πR^4 /

Rectangle: Thin-walled ring

Mass Moments of Inertia

I (^) xx = I (^) yy= ml

2 2

2 2

xx yy

zz

I mb I ma

I m a b

I (^) xx = I (^) yy = mr I (^) zz= mr

t

R

x

y

C (^) Ix= πR^3 t ; Iy= πR^3 t; JC = 2πR^3 t