Biomedical Engineering Reference
In-Depth Information
Fig. 8.7 Linear movement
with uniform acceleration
L
1
2
The time of the movement is:
L
V
1
þ
2
t
¼
V
2
:
(8.41)
The acceleration is:
V
2
V
1
V
2
V
1
ð
V
2
V
1
Þ
ð
V
2
þ
V
1
Þ
W
¼
¼
¼
(8.42)
t
2
L
2
L
The inertial force is:
V
2
V
1
m
F
¼
m
W
¼
(8.43)
2
L
With the condition
V
=
const
:
V
2
A
V
1
A
S
3
V
2
B
V
1
B
m
A
m
B
S
2
F
A
¼
¼
¼
F
B
(8.44)
2
L
A
2
S
L
B
With the condition
t
=
const
:
V
2
A
V
1
A
S
3
S
2
V
2
B
S
2
V
1
B
m
A
m
B
S
4
F
A
¼
¼
¼
F
B
(8.45)
2
L
A
2
S
L
B
8.3.3.2 Centrifugal force
A disc of mass
m
rotates around the axis with angular velocity
o
(Fig.
8.8
). The disc
is fixed on the axis with eccentricity
D
R
. The centrifugal force is:
V
2
m
2
F
¼
m
o
D
R
¼
R
;
(8.46)
D
where
V
is the linear circular velocity of the disc center. With condition
V
=
const
we will have:
