A crow bar of length 2m is used to lift a stone of weight 200kg if the fulcrum is set apart from stone how much effort should be applied to the other end of the crowbar to balance it?
depends on the distance of the fulcrum.
To find the effort required to balance the crowbar, we can use the principle of moments. The principle of moments states that for an object to be in equilibrium, the sum of the clockwise moments about any point must be equal to the sum of the anticlockwise moments about the same point.
In this case, let's assume that the fulcrum is placed a distance "x" from the stone. The weight of the stone will act downwards at a point that is 1 meter away from the fulcrum (since the crowbar has a length of 2m). This weight creates a moment (torque) around the fulcrum.
The crowbar is balanced when the clockwise moment created by the weight of the stone is equal to the anticlockwise moment created by the effort applied to the other end of the crowbar.
Mathematically, we can express this as:
Weight of stone * Distance of stone from the fulcrum = Effort * Distance of effort from the fulcrum
In this case, the weight of the stone is 200kg and its distance from the fulcrum is 1m. Let's assume the distance from the fulcrum to the effort is "y".
So, 200kg * 1m = Effort * y
To find the value of "Effort", we need to rearrange the formula:
Effort = (Weight of stone * Distance of stone from the fulcrum) / Distance of effort from the fulcrum
Plugging in the values:
Effort = (200kg * 1m) / y
Therefore, the effort required to balance the crowbar is (200/y) kg. The unit of measurement depends on the value of "y".