A lever has a 9-N load 1.5m from the fulcrum. Where should a 0.5N effort force be applied to balance the load?

9*1.5=.5*L solve for L

To find the position where a 0.5N effort force should be applied to balance the 9-N load on a lever, we can use the principle of moments, which states that the total clockwise moments are equal to the total anticlockwise moments.

The formula to calculate the moment of a force is given by:

Moment = Force x Distance

Let's denote the distance from the fulcrum to the effort force as 'x'. The distance from the fulcrum to the load is given as 1.5m.

According to the principle of moments, the total clockwise moments should equal the total anticlockwise moments. Here, the load creates a clockwise moment, and the effort force creates an anticlockwise moment to balance it.

Clockwise Moment = Load x Distance
Anticlockwise Moment = Effort Force x Distance

Given:
Load = 9 N
Effort Force = 0.5 N
Distance to the load (clockwise) = 1.5 m

Setting up the equation:
9 N x 1.5 m = 0.5 N x x

Rearranging the equation to find 'x':
x = (9 N x 1.5 m) / 0.5 N
x = 13.5 m / 0.5 N
x = 27 m

Therefore, a 0.5N effort force should be applied 27 meters from the fulcrum in the opposite direction of the 9N load to balance the lever.

To find the position where a 0.5N effort force should be applied to balance the 9N load on a lever, we can use the principle of moments. The principle of moments states that in order for a lever to be balanced, the sum of the clockwise moments about the fulcrum must be equal to the sum of the anticlockwise moments about the fulcrum.

In this case, the load of 9N is acting at a distance of 1.5m from the fulcrum. Let's represent this as follows:

Load (9N) ------(1.5m)------- Fulcrum ------(?)------- Effort force (0.5N)

Considering clockwise moments as negative and anticlockwise moments as positive, we can set up the equation:

(-9N * 1.5m) + (0.5N * ?) = 0

Simplifying the equation, we have:

-13.5Nm + 0.5N * ? = 0

To find the position where the effort force should be applied, we can solve for '?':

0.5N * ? = 13.5Nm

Divide both sides of the equation by 0.5N:

? = 13.5Nm / 0.5N

? = 27m

Therefore, the 0.5N effort force should be applied 27m from the fulcrum to balance the 9N load on the lever.