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Calf muscle Lower leg bones B A C d AB A- dBC Ꮎ B The top left figure shows an anatomical structure in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point C. The calf muscle pulls on the foot at point A, which is rotating around point B where the foot contacts the lower leg bones. We want to compute the pulling force FA of the calf muscle necessary for the person to stand on tiptoe as well as the force FB on the lower leg bones from the foot. For simplicity we will assume that the points A, B and C lie on a single line as shown on the simplified diagram on the right. Assume distance dAB = 5.00 cm, distance dBC = 15.0 cm, the angle between the floor and the foot is 0 = 10.0°, and the person's mass m = 80.0 kg. We will neglect the weight of the foot. a) Draw a diagram showing the forces acting on the foot. (1 point) b) Assuming rotational equilibrium compute the calf pulling force FA. Compare the ratio of this force to the one of the person weight. Does this force depend on the angle 0? (2 points) c) Assuming translational equilibrium compute the force FB on the lower leg bones. Compare the ratio of this force to the one of the person weight. (2 points)

Calf muscle Lower leg bones B A C d AB A- dBC Ꮎ B The top left figure shows an anatomical structure in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point C. The calf muscle pulls on the foot at point A, which is rotating around point B where the foot contacts the lower leg bones. We want to compute the pulling force FA of the calf muscle necessary for the person to stand on tiptoe as well as the force FB on the lower leg bones from the foot. For simplicity we will assume that the points A, B and C lie on a single line as shown on the simplified diagram on the right. Assume distance dAB = 5.00 cm, distance dBC = 15.0 cm, the angle between the floor and the foot is 0 = 10.0°, and the person's mass m = 80.0 kg. We will neglect the weight of the foot. a) Draw a diagram showing the forces acting on the foot. (1 point) b) Assuming rotational equilibrium compute the calf pulling force FA. Compare the ratio of this force to the one of the person weight. Does this force depend on the angle 0? (2 points) c) Assuming translational equilibrium compute the force FB on the lower leg bones. Compare the ratio of this force to the one of the person weight. (2 points)

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section10.5: Torque And The Vector Product
Problem 10.5QQ: (i) If you are trying to loosen a stubborn screw from a piece of wood with a screwdriver and fail,...
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Calf muscle Lower leg bones B A C d AB A- dBC Ꮎ B The top left figure shows an anatomical structure in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point C. The calf muscle pulls on the foot at point A, which is rotating around point B where the foot contacts the lower leg bones. We want to compute the pulling force FA of the calf muscle necessary for the person to stand on tiptoe as well as the force FB on the lower leg bones from the foot. For simplicity we will assume that the points A, B and C lie on a single line as shown on the simplified diagram on the right. Assume distance dAB = 5.00 cm, distance dBC = 15.0 cm, the angle between the floor and the foot is 0 = 10.0°, and the person's mass m = 80.0 kg. We will neglect the weight of the foot. a) Draw a diagram showing the forces acting on the foot. (1 point) b) Assuming rotational equilibrium compute the calf pulling force FA. Compare the ratio of this force to the one of the person weight. Does this force depend on the angle 0? (2 points) c) Assuming translational equilibrium compute the force FB on the lower leg bones. Compare the ratio of this force to the one of the person weight. (2 points)
Transcribed Image Text:Calf muscle Lower leg bones B A C d AB A- dBC Ꮎ B The top left figure shows an anatomical structure in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point C. The calf muscle pulls on the foot at point A, which is rotating around point B where the foot contacts the lower leg bones. We want to compute the pulling force FA of the calf muscle necessary for the person to stand on tiptoe as well as the force FB on the lower leg bones from the foot. For simplicity we will assume that the points A, B and C lie on a single line as shown on the simplified diagram on the right. Assume distance dAB = 5.00 cm, distance dBC = 15.0 cm, the angle between the floor and the foot is 0 = 10.0°, and the person's mass m = 80.0 kg. We will neglect the weight of the foot. a) Draw a diagram showing the forces acting on the foot. (1 point) b) Assuming rotational equilibrium compute the calf pulling force FA. Compare the ratio of this force to the one of the person weight. Does this force depend on the angle 0? (2 points) c) Assuming translational equilibrium compute the force FB on the lower leg bones. Compare the ratio of this force to the one of the person weight. (2 points)
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