To keep the calculations simple, but still reasonable, we shall model a human leg that is 100.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 80.0 kg person, the mass of the upper leg is m₁ = 10.0 kg, while that of the lower leg (including the foot) is m2 = 6.00 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is a) Fully extended b) Bent at the knee to form a right angle with the upper leg

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.51P
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Please draw a diagram and include equations
To keep the calculations simple, but still reasonable, we shall model a human leg that
is 100.0 cm long (measured from the hip joint) by assuming that the upper leg and the
lower leg (which includes the foot) have equal lengths and that each of them is
uniform. For a 80.0 kg person, the mass of the upper leg is m₁ = 10.0 kg, while that of
the lower leg (including the foot) is m2 = 6.00 kg. Find the location of the center of mass
of this leg, relative to the hip joint, if it is
a) Fully extended
b) Bent at the knee to form a right angle with the upper leg
Transcribed Image Text:To keep the calculations simple, but still reasonable, we shall model a human leg that is 100.0 cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 80.0 kg person, the mass of the upper leg is m₁ = 10.0 kg, while that of the lower leg (including the foot) is m2 = 6.00 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is a) Fully extended b) Bent at the knee to form a right angle with the upper leg
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