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Engineering Guide CDA3000
A-21
Appendix A Formula bank
DE
EN
1
2
3
4
5
6
7
A
Long, thin bar with pivot point at end of bar
Rectangular plate with pivot point at center
of gravity
Solid ball with rotary axis through center of
gravity
Thin-walled ball shell with rotary axis
through center of gravity
Table 7.15
Mass moments of inertia of bodies
J
m
3
----
l
2
A
ρ
⋅
3
----------
l
3
⋅
=
⋅
=
l
A
m
J
m
12
-----
h
2
b
2
+
(
)
⋅
=
b
l
h
J
2 m
⋅
5
-----------
d
2
--
2
π ρ
d
5
⋅ ⋅
60
--------------------
=
⋅
=
d
m
J
2 m
⋅
3
-----------
d
2
--
2
π ρ δ
d
4
⋅ ⋅ ⋅
6
----------------------------
=
⋅
=
d
m