3. Calculate the magnitude of the force required to cause an anterior dislocation of the glenohumeral joint given that he force has a lever arm of 52 cm, the maximum magnitude of the resistance force is 1080 N and the resistance force has a lever arm of 4.3 cm.
To calculate the magnitude of the force required to cause an anterior dislocation of the glenohumeral joint, we can use the principle of moments or torque. The principle of moments states that the sum of the clockwise moments about a point is equal to the sum of the counterclockwise moments about the same point.
In this case, we need to find the magnitude of the force required at a certain distance or lever arm to overcome the resistance force. Let's call the force we need to find F1, and the resistance force R.
According to the principle of moments, the clockwise moment about the joint is equal to the counterclockwise moment about the joint:
(F1)(lever arm of F1) = (R)(lever arm of R)
Substituting the given values, we have:
(F1)(52 cm) = (1080 N)(4.3 cm)
To solve for F1, we can divide both sides of the equation by 52 cm:
F1 = (1080 N)(4.3 cm) / 52 cm
F1 ≈ 88.615 N
Therefore, the magnitude of the force required to cause an anterior dislocation of the glenohumeral joint is approximately 88.615 N.