(Solved): 3. While slowly (i.e., assume static equilibrium) walking, a 55 \( \mathrm{kg} \) woman places all ...

3. While slowly (i.e., assume static equilibrium) walking, a 55 \( \mathrm{kg} \) woman places all of her weight, W, on one foot, as shown. a) Determine the magnitude of the vertical compressive force \( F_{B} \) that the tibia exerts on the talus (axis of rotation). b) An equal and opposite compressive force therefore acts on the tibia. If the cross-sectional area of the tibia is 1000 \( \mathrm{mm}^{2} \), determine the resultant stress in the tibia. c) If the elastic modulus of bone is \( 12 \mathrm{GPa} \), determine the resultant strain in the tibia. d) If the woman's tibia is initially \( 0.5 \mathrm{~m} \) long, how much does it shorten by? Answers: a) \( F_{s}=4136.55 \mathrm{~N} \);b) c) \( \Delta L=.00017 \mathrm{~m}=0.17 \mathrm{~mm} \)