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Consider the position of the human head and neck shown below, in static equilibrium: FM FJ FM: The force exerted by the neck extensor muscles, which makes angle 0 with the horizontal FJ: The force at the atlanto-occipital joint (the joint between the head and neck), which makes angle ß with the horizontal W: The weight of the head A: The point where neck extensor muscles act on the skull B: The point where the first cervical vertebra contacts the atlanto-occipital joint (the point of the head- neck joint) C: The center of gravity of the head 0: The intersection of forces W, FMm, and Fj a) Set up the appropriate statics equations to solve for forces FM and FJ. b) Determine equations for FM and FJ as functions of W, ß, and 0. c) Determine FM and Fj assuming the head has a mass of 5 kg, 0 = 30°, and ß = 60°.

Consider the position of the human head and neck shown below, in static equilibrium: FM FJ FM: The force exerted by the neck extensor muscles, which makes angle 0 with the horizontal FJ: The force at the atlanto-occipital joint (the joint between the head and neck), which makes angle ß with the horizontal W: The weight of the head A: The point where neck extensor muscles act on the skull B: The point where the first cervical vertebra contacts the atlanto-occipital joint (the point of the head- neck joint) C: The center of gravity of the head 0: The intersection of forces W, FMm, and Fj a) Set up the appropriate statics equations to solve for forces FM and FJ. b) Determine equations for FM and FJ as functions of W, ß, and 0. c) Determine FM and Fj assuming the head has a mass of 5 kg, 0 = 30°, and ß = 60°.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the position of the human head and neck shown below, in static equilibrium: B FM FJ FM: The force exerted by the neck extensor muscles, which makes angle e with the horizontal FJ: The force at the atlanto-occipital joint (the joint between the head and neck), which makes angle ß with the horizontal W: The weight of the head A: The point where neck extensor muscles act on the skull B: The point where the first cervical vertebra contacts the atlanto-occipital joint (the point of the head- neck joint) C: The center of gravity of the head O: The intersection of forces W, FM, and FJ a) Set up the appropriate statics equations to solve for forces FM and FJ. b) Determine equations for FM and FJ as functions of W, B, and 0. c) Determine FM and Fj assuming the head has a mass of 5 kg, 0 = 30°, and ß = 60°.
Transcribed Image Text:Consider the position of the human head and neck shown below, in static equilibrium: B FM FJ FM: The force exerted by the neck extensor muscles, which makes angle e with the horizontal FJ: The force at the atlanto-occipital joint (the joint between the head and neck), which makes angle ß with the horizontal W: The weight of the head A: The point where neck extensor muscles act on the skull B: The point where the first cervical vertebra contacts the atlanto-occipital joint (the point of the head- neck joint) C: The center of gravity of the head O: The intersection of forces W, FM, and FJ a) Set up the appropriate statics equations to solve for forces FM and FJ. b) Determine equations for FM and FJ as functions of W, B, and 0. c) Determine FM and Fj assuming the head has a mass of 5 kg, 0 = 30°, and ß = 60°.
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