|| 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?
Figure
x
Part A - Moment due to a force specified by magnitude and endpoints
F
As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free
end, point B.
(Figure 1)
VE ΑΣΦ
↓↑ vec
Mo 0.013,97.9, - 196
Submit
The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m,
y₁ = 2.60 m, and z₁ = 1.30 m.
B
What is the moment about the origin due to the applied force F?
Express the individual components of the Cartesian vector to three significant figures, separated by commas.
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1 of 3
?
i, j, k] N · m
Problem 10: Show how to resolve each force into its x, y, z components. Set
up the calculation used to find the magnitude of each component.
(a)
F-600 N
(b
F = 500 N
16. ao The drawing shows a rectangular piece of wood. The forces
applied to corners B and D have the same magnitude of 12 N and are
directed parallel to the long and short sides of the rectangle. The long
side of the rectangle is twice as long as the short side. An axis of ro-
tation is shown perpendicular to the plane
of the rectangle at its center. A third force
(not shown in the drawing) is applied to cor-
ner A, directed along the short side of the
rectangle (either toward B or away from B),
such that the piece of wood is at equilib-
rium. Find the magnitude and direction of
the force applied to corner A.
A
D
Axis
Problem 16
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