A crowbar 24 in.long is pivoted 6 in. From the end.what force must be applied at the long end in order to lift a 500lb object at the short end

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Lanuel

A force of 166.7 Newton must be applied at the long end of this crow bar in order to lift a 500 lb object at the short end.

Given the following data:

  • Length of crowbar, a = 24 inches.
  • Distance of pivot from the edge, b = 6 inches.
  • Weight at the short end, W = 500 lb.

What is moment of force?

Moment of force can be defined as a measure of the amount of force which causes a physical object to rotate about an axis. This ultimately implies that, moment of force is a force which tends to cause the rotation of a physical object about an axis.

In Mechanics, moment of force is also referred to as a twisting force, torque, moment or rotational force. Also, it is generally considered as the rotational equivalent of a linear force.

How to calculate the force?

In order to determine the amount of force that must be applied at the long end, we would use an expression for the moment about the pivot as follows:

W × b = F(a - b)

500 × 6 = F(24 - 6)

3000 = 18F

F = 3000/18

Force, F = 166.7 Newton.

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