Tension required to heal a fractured tibia

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SUMMARY

The discussion centers on the mechanics of healing a fractured tibia using a Russell traction apparatus. The patient’s lower leg, weighing 48.5N, must be supported horizontally under tension to ensure proper healing. Participants emphasize the importance of understanding free body diagrams and the principles of pulleys to determine the necessary mass for the weight W and the traction force exerted by the apparatus. The conversation highlights the critical role of tension in orthopedic recovery.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams
  • Knowledge of pulley systems and force concentration
  • Basic principles of orthopedic traction methods
NEXT STEPS
  • Study the mechanics of Russell traction apparatus
  • Learn about calculating forces in pulley systems
  • Research the healing process of bone fractures
  • Explore advanced topics in orthopedic biomechanics
USEFUL FOR

This discussion is beneficial for medical students, orthopedic practitioners, and anyone involved in the rehabilitation of bone fractures, particularly those interested in traction methods and biomechanics.

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Homework Statement


While a fractured tibia (the larger of the two major lower leg bones in mammals) is healing, it must be held horizontal and kept under some tension so that the bones will heal properly to prevent a permanent limp. One way to do this is to support the leg by using a variation of the Russell traction apparatus. (See the figure) The lower leg (including the foot) of a particular patient weighs 48.5N , all of which must be supported by the traction apparatus.
What must be the mass of W, shown in the figure?
What traction force does the apparatus provide along the direction of the leg?

2n695s1.jpg


The Attempt at a Solution


I have drawn a free body diagram for the weight but other than that I am LOST. It's the only question I have left to do and I've looked over it many time but nothing is clicking. Any help would be greatly appreciated.
 
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Choosing the weight as your system won't be very helpful. The end result you desire is the value of the weight but choosing it as your system will lead to no useful information in the larger scope of the problem. Can you think of what you know about pulleys and the concentration of forces in the problem to choose the best system?

BTW: I hope this problem isn't true or I may be permanently limping when I heal up!
 

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