Practice Problems 4 Q1: The quadriceps tendon attaches to the tibia at a 30-degree angle from the knee at a height of a*H where a is a constant and H is the height of the individual. The tendon attaches at a point between the knee and the COM of the lower leg. Additionally, a 100 N weight attached to the ankle. Solve the following parts of the problem while neglecting the weight of the foot but not the lower leg, the thigh is supported. A) Draw a free body diagram of the system. B) For an individual, W = 80 kg, H = 1.8 m, what is the magnitude of the gravitational force acting on the lower leg, and where does this force act (distance from the knee)? C) If this leg is maintained in a horizontal position, write parametric equations (i.e. you will not be able to solve this out numerically because a*H is unknown) for the force in the muscle and at the contact forces at the knee joint if static equilibrium is maintained. Simplify these equations as best as you can. D) Assuming the distance between the knee and the COM of the lower leg is d, calculate the muscle force and joint force if the tendon is located at 0.1d, 0.5d, and d. Comment on what would happen to the joint contact force and muscle force if the distance "a" is increased (i.e. if the muscle attaches closer or further from the knee).
Practice Problems 4 Q1: The quadriceps tendon attaches to the tibia at a 30-degree angle from the knee at a height of a*H where a is a constant and H is the height of the individual. The tendon attaches at a point between the knee and the COM of the lower leg. Additionally, a 100 N weight attached to the ankle. Solve the following parts of the problem while neglecting the weight of the foot but not the lower leg, the thigh is supported. A) Draw a free body diagram of the system. B) For an individual, W = 80 kg, H = 1.8 m, what is the magnitude of the gravitational force acting on the lower leg, and where does this force act (distance from the knee)? C) If this leg is maintained in a horizontal position, write parametric equations (i.e. you will not be able to solve this out numerically because a*H is unknown) for the force in the muscle and at the contact forces at the knee joint if static equilibrium is maintained. Simplify these equations as best as you can. D) Assuming the distance between the knee and the COM of the lower leg is d, calculate the muscle force and joint force if the tendon is located at 0.1d, 0.5d, and d. Comment on what would happen to the joint contact force and muscle force if the distance "a" is increased (i.e. if the muscle attaches closer or further from the knee).
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Transcribed Image Text:Practice Problems 4
Q1: The quadriceps tendon attaches to the tibia at a 30-degree angle from the knee at a
height of a*H where a is a constant and H is the height of the individual. The tendon
attaches at a point between the knee and the COM of the lower leg. Additionally, a 100 N
weight attached to the ankle. Solve the following parts of the problem while neglecting the
weight of the foot but not the lower leg, the thigh is supported.
A) Draw a free body diagram of the system.
B) For an individual, W = 80 kg, H = 1.8 m, what is the magnitude of the gravitational
force acting on the lower leg, and where does this force act (distance from the
knee)?
C) If this leg is maintained in a horizontal position, write parametric equations (i.e. you
will not be able to solve this out numerically because a*H is unknown) for the force
in the muscle and at the contact forces at the knee joint if static equilibrium is
maintained. Simplify these equations as best as you can.
D) Assuming the distance between the knee and the COM of the lower leg is d,
calculate the muscle force and joint force if the tendon is located at 0.1d, 0.5d, and
d. Comment on what would happen to the joint contact force and muscle force if
the distance "a" is increased (i.e. if the muscle attaches closer or further from the
knee).
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