Yamaha YP-X Series Owner's Manual page 102

CHAPTER 6 Specifications
J
3. When the object's center line is offset from the rotation center.
The equation for the moment of inertia, when the center of the cylinder is
offset the amount of "x" from the rotation center as shown in Fig. 6-20, is
given below.
ρ π D ρ π D
4
h
= +
32g 4g
2
WD Wx
= +
8g g
W : Weight of the cylinder (kg)
In the same manner for the rectangular column in Fig. 6-21.
ρ abc (a ρ abcx
2 2
+b )
J =
+
12g
2 2
W (a +b ) Wx
=
+
12g g
W : Weight of the rectangular column (kg)
2 2
hx
2
2
(kg · cm · sec )
...(6.3)
2
g
2
2
(kg · cm · sec )
...(6.4)
c
b
6-20
Center line Rotation center
h
D
Fig. 6-20
Center line
x
a
Fig. 6-21
x