Finding the Center of Mass for Jane's Leg Model

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SUMMARY

The discussion focuses on calculating the center of mass for Jane's leg modeled as two uniform cylinders. The first cylinder has a mass of 21 kg and a length of 32 cm, while the second cylinder has a mass of 6 kg and a length of 52 cm. The leg is positioned at a 40.1° angle with respect to the vertical. Resources such as HyperPhysics and Physics Lab are provided for further understanding of the center of mass calculations.

PREREQUISITES
  • Understanding of center of mass calculations
  • Familiarity with uniform cylinder properties
  • Basic trigonometry for angle measurements
  • Knowledge of mass and length units (kg and cm)
NEXT STEPS
  • Study the principles of center of mass using HyperPhysics
  • Explore the calculations for composite bodies in Physics Lab
  • Learn about the effects of angles on center of mass positioning
  • Investigate real-world applications of center of mass in biomechanics
USEFUL FOR

This discussion is beneficial for physics students, biomechanics researchers, and anyone involved in modeling human anatomy for medical research.

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Homework Statement


Jane is sitting on a chair with her lower leg at a 40.1° angle with respect to the vertical, as shown. You need to develop a computer model of her leg to assist in some medical research. If you assume that her leg can be modeled as two uniform cylinders, one with mass M1 = 21 kg and length L1 = 32 cm and one with mass M2 = 6 kg and length L2 = 52 cm, where is the center of mass of her leg?

I have no clue how to solve this can anyone please explain...
 
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