Biomedical Engineering Reference
In-Depth Information
K
lt
F
B
x
2
K
se
x
1
M
FIGURE 13.25
System for Example Problem 13.5.
Mg
K
se
Mg
¼
K
se
x
ð
x
Þ !
x
1
¼
x
2
1
2
F
¼
Bx
2
þ
K
lt
x
2
þ
K
se
x
2
x
1
ð
Þ
Substituting
x
1
into the second equation yields
F
¼
B x
2
þ
K
lt
x
2
þ
Mg
Solving the previous equation for
x
2
and
x
2
gives
ðÞ¼
F
Mg
K
lt
e
K
lt
t
x
2
1
B
ðÞ¼
F
Mg
B
e
K
lt
t
x
2
B
V
max
¼
F
Mg
B
x
1
¼
x
2
, since
Maximum velocity,
V
max
,
for all
loads is given by
and
. Figure 13.26 depicts a linear relationship between maximum velocity and load.
x
1
¼
dt
x
2
Mg
K
se
Maximum Velocity
F/B
Slope = 1/B
F
Mg
FIGURE 13.26
Result for Example Problem 13.5.