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 need to use the principle of moments (also known as the law of the lever). The principle states that for an equilibrium to be maintained, the sum of the clockwise moments must be equal to the sum of the counterclockwise moments.
In this case, the force causing the anterior dislocation of the glenohumeral joint is the effort force, and the resistance force is the force opposing the dislocation. The lever arms represent the perpendicular distance between the forces and the pivot point.
Let's use the formula of the principle of moments:
Effort Force x Effort Lever Arm = Resistance Force x Resistance Lever Arm
Plugging in the given values, we have:
Effort Force x 52 cm = 1080 N x 4.3 cm
To find the magnitude of the effort force, we can rearrange the equation:
Effort Force = (Resistance Force x Resistance Lever Arm) / Effort Lever Arm
Substituting the given values:
Effort Force = (1080 N x 4.3 cm) / 52 cm
Now, let's convert the units for a consistent calculation:
Effort Force = (1080 N x 0.043 m) / 0.52 m
= 89.54 N
Therefore, the magnitude of the force required to cause an anterior dislocation of the glenohumeral joint is approximately 89.54 N.