Solution Found!
BIO Changing Your Center of Mass. To keep the calculations
Chapter 10, Problem 60E(choose chapter or problem)
BIO Changing Your Center of Mass.? To keep the calculations fairly simple but still reasonable, we model a human leg that is 92.0 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 are uniform. For a 70.0-kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) stretched out horizontally and (b) bent at the knee to form a right angle with the upper leg remaining horizontal.
Questions & Answers
QUESTION:
BIO Changing Your Center of Mass.? To keep the calculations fairly simple but still reasonable, we model a human leg that is 92.0 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 are uniform. For a 70.0-kg person, the mass of the upper leg is 8.60 kg, while that of the lower leg (including the foot) is 5.25 kg. Find the location of the center of mass of this leg, relative to the hip joint, if it is (a) stretched out horizontally and (b) bent at the knee to form a right angle with the upper leg remaining horizontal.
ANSWER:Solution 60E Step 1 of 5: In the given problem, the length of the total leg including feet is 92 cm measured from hip joint. As given , the upper leg and the lower leg including feet has the equal lengths, that is upper leg has length x =u46 cm with mass m = 8.6 kg whereas lower leg x = 46 1 l cm with mass m =5.25 kg, here we need to calculate location of center of mass in two 2 different cases.