HSD ES929 - Page 92

HSD
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2. For each elementary part, calculate the centre of gravity as indicated below.
i
In the formulas shown below, the following symbols are used:
G : centre of gravity
X : absolute position of the centre of gravity
b : relative position of the centre of gravity;
V : volume;
m : mass;
d : density (in the absence of data supplied by the toolmaker, use the following general
densities: Iron: 7850kg/m
3
; Aluminium: 2100kg/m
3
).
3. Elementary formulas for calculating the centre of gravity:
3.1. Cylindrical segment (possibly cable):
h
2
Posizione G : b =
Massa : m = Vd
Volume : V =
π (r 2 -r 1 ) h
2
h
b
G
r1
r2
3.2. Conical segment:
h(r 2 +2r 2 r 1 +3r 1
)
2
4(r 2 +r 2 r 1 +r 1 )
Posizione G : b =
22
2
Volume : V = π (r 2 +r 2 r 1 +r 1 )
22
Massa : m = Vd
1
3
r2
r1
h
b
G