|| BIO Muscles and tendons . Muscles are attached to bones by means of tendons. The maximum force that a muscle can exert is directly proportional to its cross-sectional area A at the widest point. We can express this relationship mathematically as F max = σA, where σ (sigma) is a proportionality constant. Surprisingly, σ is about the same for the muscles of all animals and has the numerical value of 3.0 × 10 5 in SI units. The gastrocnemius muscle, in the back of the leg, has two portions, known as the medial and lateral heads. Assume that they attach to the Achilles tendon as shown in Figure 5.41 The cross-sectional area of each of these two muscles is typically [&30 cm 2 for many adults. What is the maximum tension they can produce in the Achilles tendon? Figure 5.41 Problem 7.
|| BIO Muscles and tendons . Muscles are attached to bones by means of tendons. The maximum force that a muscle can exert is directly proportional to its cross-sectional area A at the widest point. We can express this relationship mathematically as F max = σA, where σ (sigma) is a proportionality constant. Surprisingly, σ is about the same for the muscles of all animals and has the numerical value of 3.0 × 10 5 in SI units. The gastrocnemius muscle, in the back of the leg, has two portions, known as the medial and lateral heads. Assume that they attach to the Achilles tendon as shown in Figure 5.41 The cross-sectional area of each of these two muscles is typically [&30 cm 2 for many adults. What is the maximum tension they can produce in the Achilles tendon? Figure 5.41 Problem 7.
|| BIO Muscles and tendons. Muscles are attached to bones by means of tendons. The maximum force that a muscle can exert is directly proportional to its cross-sectional area A at the widest point. We can express this relationship mathematically as Fmax = σA, where σ (sigma) is a proportionality constant. Surprisingly, σ is about the same for the muscles of all animals and has the numerical value of 3.0 × 105 in SI units. The gastrocnemius muscle, in the back of the leg, has two portions, known as the medial and lateral heads. Assume that they attach to the Achilles tendon as shown in Figure 5.41 The cross-sectional area of each of these two muscles is typically [&30 cm2 for many adults. What is the maximum tension they can produce in the Achilles tendon?
A
20
FIG. P 1-12
1-12. One component of the force P in Fig. P 1-12 is 600 lb up the plane
through A. The other component is perpendicular to the plane.
Determine P.
▾ Part A
When a 70 kg man sits on the stool, by what percent does the length of the legs decrease? Assume, for simplicity, that
the stool's legs are vertical and that each bears the same load.
Express your answer in percent.
AL=
VE ΑΣΦ
f
O
?
%
a) Cables AC and BC are connected to lifting points A & B, and joined together at C as
shown in Figure Q1a. The angle = 200 and angle B = 50°. If the tension in each cable is
3.75 KN, calculate the force (F) and the angle a required to maintain point C in static
equilibrium. Give your answers for F in kilonewtons (kN) and the angle a in degrees
to two decimal places.
A
3
F
α
B
O
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