Biomedical Engineering Reference
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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.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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