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12 Nov 2019

The device shown in the figure below is one version of a Russelltraction apparatus. It has two functions: to support the injuredleg horizontally and at the same time provide a horizontal tractionforce on it. This can be done by adjusting the weight, W, and theangle. For this patient, his leg (including his foot) is 95.0 cmlong (measured from the hip joint) and has a mass of 14.2 kg . Itscenter of mass is 41.0 from the hip joint. A support strap isattached to the patient's ankle 13.0 cm from the bottom of hisfoot.

What weight is needed to support the leg horizontally?
If the therapist specifies that the traction force must be 12.0 Nhorizontally, what must be the angle?
What is the greatest traction force that this apparatus couldsupply to this patient's leg? What is the angle in that case?

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A therapist tells a 80.0 {kg} patient with a broken leg thathe must have his leg in a cast suspended horizontally. For minimumdiscomfort, the leg should be supported by a vertical strapattached at the center of mass of the leg-cast system. (See thefigure below .) In order to comply with these instructions, thepatient consults a table of typical mass distributions and findsthat both upper legs (thighs) together typically account for 21.5 %of body weight and the center of mass of each thigh is 18.0 {cm}from the hip joint. The patient also reads that the two lower legs(including the feet) are 14.0 % of body weight, with a center ofmass 69.0 { m cm} from the hip joint. The cast has a mass of 5.50{kg}, and its center of mass is 78.0 { m cm} from the hipjoint
1.How far from the hip joint should the supporting strap beattached to the cast? (in cm)

A therapist tells a 76.0 kg patient with a broken leg that he musthave his leg in a cast suspended horizontally. For minimumdiscomfort, the leg should be supported by a vertical strapattached at the center of mass of the leg-cast system. In order tocomply with these instructions, the patient consults a table oftypical mass distributions and finds that both upper legs (thighs)together typically account for 21.5 % of body weight and the centerof mass of each thigh is 18.0 cm from the hip joint. The patientalso reads that the two lower legs (including the feet) are 14.0 %of body weight, with a center of mass 69.0 cm from the hip joint.The cast has a mass of 5.40 kg, and its center of mass is 78.0 cmfrom the hip joint.
Again, how far from the hip joint should the supporting strap beattached to the cast?

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