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The center of mass of Suzanne\'s thigh is located 43% of the length of thigh fro

ID: 1309706 • Letter: T

Question

The center of mass of Suzanne's thigh is located 43% of the length of thigh from her hip joint and its mass is approximately 15% of body mass. The center of mass of the leg is located 43% of the leg from the knee joint and its mass is approximately 4% of body mass. The center of mass of the foot is located 50% of the length of the foot from the ankle joint and its mass is approximately 1.5% of body mass. Suzanne's thigh length is 0.413 m, her leg length is 0.442 m and her foot length is 0.14 m. She is laying supine with her foot fully plantar flexed and her body mass is 69 kg. How far from her hip joint center is the center of mass of her whole leg (all three segments).

Explanation / Answer

length of centre of mass calculting from hip joint

that of thigh is at 0.43 of thigh length=0.43*0.413=0.17759 m from hip joint

that of leg from hip joint is at=thigh length +0.43 of leg from knee=0.413 + 0.43*0.442=0.413+0.19046=0.60346m

that of foot is at=thigh length + leg length +0.5*0.14=0.413+0.442+0.07=0.925 m

centre of mass of whole leg from hip joint=m1l1+m2l2+m3l3/m1+m2+m3=0.315 m is the distance of her hip joint centre from centre of mass of her whole leg

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