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. The principle of moments states that the sum of the clockwise moments equals the sum of the counterclockwise moments.
In this scenario, the force required to cause the anterior dislocation acts as the clockwise moment, while the resistance force acts as the counterclockwise moment.
First, let's write down the information given:
Lever arm of the force (clockwise): 52 cm
Maximum magnitude of the resistance force (counterclockwise): 1080 N
Lever arm of the resistance force (counterclockwise): 4.3 cm
Next, we'll set up the equation using the principle of moments:
Force x Lever arm (clockwise) = Resistance force x Lever arm (counterclockwise)
F x 52 cm = 1080 N x 4.3 cm
Now, we can solve the equation for the force (F):
F = (1080 N x 4.3 cm) / 52 cm
Calculating this:
F = 89.538 N
Therefore, the magnitude of the force required to cause an anterior dislocation of the glenohumeral joint is approximately 89.538 Newtons.