A fulcrum of a lever (which is placed horizontally) is placed 8 meters from a force of 28 Newton and another force of 14 Newton is placed on the opposite side from the fulcrum. Determine the distance between the forces of 14 Newton from the fulcrum in order to achieve equilibrium.
28*8=14*L
L=16meters
To determine the distance between the forces of 14 Newton from the fulcrum, we can use the principle of moments. The principle of moments states that for an object to be in equilibrium, the clockwise moments must be equal to the anticlockwise moments.
In this case, the clockwise moment is created by the force of 28 Newton, and the anticlockwise moment is created by the force of 14 Newton. The distance from the fulcrum to the 28 Newton force is given as 8 meters.
Let's represent the distance between the fulcrum and the 14 Newton force as 'x' meters. Since the moments are equal at equilibrium, we can write the equation:
28 N * 8 m = 14 N * x m
Simplifying the equation:
224 Nm = 14 N * x m
Dividing both sides of the equation by 14 N:
16 m = x
Therefore, the distance between the forces of 14 Newton from the fulcrum in order to achieve equilibrium is 16 meters.