The quadriceps tendon attaches to the tibia at a 30° angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? When the subject mass is 75 kg, what is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Utilize “Foot and leg” in the included chart to obtain weight of the lower leg and location of COM. Neglect the action of other muscles.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The quadriceps tendon attaches to the tibia at a 30° angle 4 cm from the joint center at the knee. When an 80 N weight is attached to the ankle 28 cm from the knee joint, how much force is required of the quadriceps to maintain the leg in a horizontal position? When the subject mass is 75 kg, what is the magnitude and direction of the reaction force exerted by the femur on the tibia? (Utilize “Foot and leg” in the included chart to obtain weight of the lower leg and location of COM. Neglect the action of other muscles.)

 

30°
0.04 m
wt = 80 N
dwt = 0.28 m
dp = 0.04 m
0.28 m
80 N
Transcribed Image Text:30° 0.04 m wt = 80 N dwt = 0.28 m dp = 0.04 m 0.28 m 80 N
Table 3.1 Anthropometric Data
Segment
Hand
Forearm
Upper arm
Forearm and hand
Total arm
Foot
Log
Thigh
Foot and leg
Total leg
Definition
Wrist axis/knuckle II middle
finger
Elbow axis/ulnar styloid
Glenohumeral axis elbow axis
Elbow axis/ulnar styloid
Glenohumeral jointular
styloid
Lateral malleolus/head
metatarsal II
Femoral condyles/modial
mallicolus
Greater trochanter/femoral
condyles
Femoral condyles/medial
malicolus
Greater trochanter/medial
malleolus
Center of Mass
Segment Length
Distal
0.494 P
Segment Weight/
Total Body Weight Proximal
0.006 M
0.506
0.430
0.682
0.530
0.016 M
0.028 M
0.022 M
0.050 M
0.0145 M
0.0465 M
0.100 M
0.061 M
0.161 M
0.433
0.433
0.606
0.447
0.570 P
0.564 P
0.318 P
0.470 P
0.50 P
0.567 P
0.567 P
0.394 P
0.553 P
Radius of Gyration/
Segment Length
C of O Proximal Distal Density
0.297
0.587 0.577 M
1.16
0303
0.322
0.468
0.368
0.475
0.302
0.323
0.416
0.326
0.526
0.542
0.827
0.645
0.690
0.528
0.540
0.735
0.560
0.647 M
0.645 M
0.565 P
0.396 P
0.690 P
0.643 M
0.653 M
0.572 P
0.650 P
1.13
1.07
1.14
1.10
1.09
1.05
1.09
1.06
Transcribed Image Text:Table 3.1 Anthropometric Data Segment Hand Forearm Upper arm Forearm and hand Total arm Foot Log Thigh Foot and leg Total leg Definition Wrist axis/knuckle II middle finger Elbow axis/ulnar styloid Glenohumeral axis elbow axis Elbow axis/ulnar styloid Glenohumeral jointular styloid Lateral malleolus/head metatarsal II Femoral condyles/modial mallicolus Greater trochanter/femoral condyles Femoral condyles/medial malicolus Greater trochanter/medial malleolus Center of Mass Segment Length Distal 0.494 P Segment Weight/ Total Body Weight Proximal 0.006 M 0.506 0.430 0.682 0.530 0.016 M 0.028 M 0.022 M 0.050 M 0.0145 M 0.0465 M 0.100 M 0.061 M 0.161 M 0.433 0.433 0.606 0.447 0.570 P 0.564 P 0.318 P 0.470 P 0.50 P 0.567 P 0.567 P 0.394 P 0.553 P Radius of Gyration/ Segment Length C of O Proximal Distal Density 0.297 0.587 0.577 M 1.16 0303 0.322 0.468 0.368 0.475 0.302 0.323 0.416 0.326 0.526 0.542 0.827 0.645 0.690 0.528 0.540 0.735 0.560 0.647 M 0.645 M 0.565 P 0.396 P 0.690 P 0.643 M 0.653 M 0.572 P 0.650 P 1.13 1.07 1.14 1.10 1.09 1.05 1.09 1.06
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