Problem 1 The force arm of a lever is 8 m long and the length of the load arm is 2 m. Calculate the force F needed to lift a 500 N load and find out the mechanical advantage of the lever.

The force needed to lift a 500 newton-load is 125 newtons.

The mechanical advantage of the lever is 4.

Explanation:

Needed force is equal to the weight of the load. The Law of Lever, which is a particular case of the definition of Torque, states that force is inversely proportional to distance from fulcrum, that is:

(1)

Where:

- Needed force, in newtons.

- Force arm, in meters.

- Load force, in newtons.

- Load arm. in meters.

The mechanical advantage of the lever (), no unit, is determined by following formula:

(2)

If we know that , and , then the load force needed to lift is:

The force needed to lift a 500 newton-load is 125 newtons.

And the mechanical advantage of the lever is:

The mechanical advantage of the lever is 4.

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