Biomedical Engineering Reference
In-Depth Information
(a) Explain why the force decreases when the sarcomere length exceeds
L4.
(b) The force versus length relation between L1 and L2 can be described
exactly with Eq. (
4.9
). Determine the value of
c
in the case where the
maximum force as given in the graph is 100 [N].
4.4
A muscle-tendon complex is loaded with a force
F
. The combination of
the muscle-tendon complex can schematically be depicted as given in the
figure.
F
muscle
tendon
The force versus length relation in the muscle can be written as
c
m
1
.
m
F
m
=
c
−
The force versus length relation in the tendon can be written as
c
t
1
.
t
F
t
=
0
−
t
Determine the total length change of the muscle-tendon complex as a result
of the load
F
.
4.5
A fibre is marked on two sides with small dots. The position of these
dots is measured in an unloaded reference configuration. From these
measurements it appears that the positions are given as
x
0,A
=−
e
x
+
3
e
y
x
0,B
=
2
e
x
+
3
e
y
.
The fibre moves and in the current (deformed) configuration the positions
of points A and B are measured again:
x
A
=
4
e
x
+
2
e
y
x
B
=
8
e
x
−
e
y
.
The constant in the force versus extension relation is
c
=
300 [N]. Deter-
mine the force vectors
F
A
and
F
B
in the deformed configuration.
