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6.3
Equation for moment of inertia calculation
Usually the R axis load is not a simple form, and the calculation of the moment of inertia is not easy. As a
method, the load is replaced with several factors that resemble a simple form for which the moment of inertia
can be calculated. The total of the moment of inertia for these factors is then obtained.
The objects and equations often used for the calculation of the moment of inertia are shown below.
Incidentally, there is the following relation: J (kgfcmsec
1) Moment of inertia for material particle
The equation for the moment of inertia for a material particle that has a rotation center such as shown in the Fig. below
is as follows:
This is used as an approximate equation when x is larger than the object size.
Moment of inertia for material particle
2) Moment of inertia for cylinder (part 1)
The equation for the moment of inertia for a cylinder that has a rotation center such as shown in the Fig. below is given
as follows.
Moment of inertia for cylinder (part 1)
h
I= mx
(kgm
2
Wx
2
J=
g
x
g : Gravitational acceleration (cm/sec
m : Mass of material particle (kg)
W : Weight of material particle (kgf)
ρπD
I=
32
ρπD
J=
32g
ρ : Density (kg/m
g : Gravitational acceleration (cm/sec
D
m : Mass of cylinder (kg)
W : Weight of cylinder (kgf)
2
2
) = I (kgm
) × 10.2.
)
2
(kgfcmsec
)
2
... (1)
2
)
h
4
mD
2
=
(kgm
2
)
8
h
4
WD
2
=
(kgfcmsec
2
)
8g
... (2)
3
, kg/cm
3
)
)
2
3
23203-F0-00
23204-F0-00
3-17
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