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Get Full Access to University Physics - 13 Edition - Chapter 11 - Problem 55p
Get Full Access to University Physics - 13 Edition - Chapter 11 - Problem 55p

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# BIO Supporting a Broken Leg. A therapist tells a 74-kg ISBN: 9780321675460 31

## Solution for problem 55P Chapter 11

University Physics | 13th Edition

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Problem 55P

BIO Supporting a Broken Leg. A therapist tells a 74-kg patient with a broken leg that he must have his leg in a cast suspended horizontally. For minimum discomfort, the leg should be supported by a vertical strap attached at the center of mass of the leg–cast system (?Fig. P11.51?). To comply with these instructions, the patient consults a table of typical mass distributions and finds that 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 of mass 69.0 cm from the hip joint. The cast has a mass of 5.50 kg, and its center of mass is 78.0 cm from the hip joint. How far from the hip joint should the supporting strap be attached to the cast?

Step-by-Step Solution:

Solution 55P Introduction We have to calculate the center of mass of the leg strap system. Step 1 The mass of one thigh is m = 1 × (74 kg) × 21.5% = 7.95 kg t 2 And the position of center of mass is R cm,t= 18.0 cm The mass of the lower leg is 1 m l 2 × (74 kg) × 14.0% = 5.18 kg And the position of the center of mass is R = 69.0 cm cm,l For the cast, the mass is m c 5.50 kg And the position of the center of mass is R cm,c= 78.0 cm Hence the position of the center of mass of the whole system is mtRcm,tm lcm,lm c cm,c Rcm = m +m +m c t l (7.95 kg)(18.0 cm)+(5.18 kg)(69.0 cm)+(5.50 kg)(78.0 cm) = (7.95 kg)+(5.18 kg)+(5.50 kg) = 49.89 cm Hence the center of mass will be 49.9 cm away from the hip joint.

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 55P from chapter: 11 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “BIO Supporting a Broken Leg. A therapist tells a 74-kg patient with a broken leg that he must have his leg in a cast suspended horizontally. For minimum discomfort, the leg should be supported by a vertical strap attached at the center of mass of the leg–cast system (?Fig. P11.51?). To comply with these instructions, the patient consults a table of typical mass distributions and finds that 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 of mass 69.0 cm from the hip joint. The cast has a mass of 5.50 kg, and its center of mass is 78.0 cm from the hip joint. How far from the hip joint should the supporting strap be attached to the cast?” is broken down into a number of easy to follow steps, and 157 words. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: mass, leg, hip, Joint, center. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 55P from 11 chapter was answered, more than 623 students have viewed the full step-by-step answer.

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