A girl of weight 500 N sits 3m from the fulcrum. how far away is the fulcrum on the other side should a force of 600 N be applied to balance the girl
500• 3 = 600•x
x =500•3/600 = 2.5 m
To balance the weight of the girl, a force of 600 N needs to be applied on the other side of the fulcrum. Let's call the distance from the fulcrum on the other side "x" meters.
To solve this problem, we can use the principle of moments, which states that the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
The moment of a force is calculated by multiplying the force by its perpendicular distance from the fulcrum. In this case, the moment of the girl's weight is given by 500 N x 3 m = 1500 Nm (clockwise direction), and the moment of the 600 N force is given by 600 N x x m = 600x Nm (anticlockwise direction).
So, according to the principle of moments, 1500 Nm (clockwise moment) = 600x Nm (anticlockwise moment).
To find the value of "x," we can rearrange the equation:
1500 Nm = 600x Nm
Divide both sides by 600 Nm:
1500 Nm / 600 Nm = x
Simplify:
2.5 = x
Therefore, the fulcrum should be placed 2.5 meters away from the girl on the other side to balance the girl's weight with a 600 N force.