In the cartoon we have a conceptual model of an arm caught in a Brazilian Jiu-Jitsu “straight armbar.” The Submitter has the opponents upper arm tucked in the Submitter’s hips 1.00 cm away from the opponent’s pivot point at the elbow. The Submitter also has the opponent’s wrist 40.0 cm away from the pivot point of the elbow. The opponent’s biceps connect to the elbow at a right angle to a lever arm of 2.00 cm. a) If the Submitter (the one applying the armbar and trapping the arm) is applying a force of 600 Newtons (about an easily plausible 150 lbs.) at the opponent’s wrist and pushes the opposite direction at the hips with a force of 600 Newtons, what tension force must the opponent’s biceps exert to balance this torque and hold off the armbar? Show your work. b) Keeping in mind that the biceps muscles are much smaller than the quadriceps muscles of the legs, should the opponent “tap out”? We can assume here the flexing the opponent’s biceps here is the only option left for escape.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter1: Introduction To Statics
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In the cartoon we have a conceptual model of an arm caught in a Brazilian Jiu-Jitsu “straight armbar.” The Submitter has the opponents upper arm tucked in the Submitter’s hips 1.00 cm away from the opponent’s pivot point at the elbow. The Submitter also has the opponent’s wrist 40.0 cm away from the pivot point of the elbow. The opponent’s biceps connect to the elbow at a right angle to a lever arm of 2.00 cm.

a) If the Submitter (the one applying the armbar and trapping the arm) is applying a force of 600 Newtons (about an easily plausible 150 lbs.) at the opponent’s wrist and pushes the opposite direction at the hips with a force of 600 Newtons, what tension force must the opponent’s biceps exert to balance this torque and hold off the armbar? Show your work.

b) Keeping in mind that the biceps muscles are much smaller than the quadriceps muscles of the legs, should the opponent “tap out”? We can assume here the flexing the opponent’s biceps here is the only option left for escape.

Opponent's
Biceps
Elbow
2.00 cm
lever arm
Submitter's
Force at
Submitter's
Hips
wrist
Hip-to-Elbow
Distance:
1.00 cm
Elbow-to-wrist
Distance: 40.0 cm
Transcribed Image Text:Opponent's Biceps Elbow 2.00 cm lever arm Submitter's Force at Submitter's Hips wrist Hip-to-Elbow Distance: 1.00 cm Elbow-to-wrist Distance: 40.0 cm
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