Simple Machines

• Lever: A simple machine that amplifies force, allowing a smaller input force to lift a heavier load.

  • IMA=Fout/Fin

  • IMA=Rin/Rout

• Pulley: A simple machine that uses a wheel and a rope to change the direction of force, making it easier to lift heavy objects.

  • IMA=Number of supports

• Inclined Plane: A flat surface that is tilted at an angle, which allows for easier movement of objects upward by reducing the amount of force required.

  • IMA= Length of the slope / Height of the incline (S/h)

Numerical Problems Based on Simple Machines:

1. Lever Problem: A lever has an input force (Fin) of 50 N applied. If the lever has an output force (Fout) of 200 N, what is the IMA of the lever?

   Solution:IMA = Fout / FinIMA = 200 N / 50 N = 4

2. Pulley Problem:A pulley system has 4 supporting ropes. If the total weight being lifted is 400 N, what is the force required to lift the weight?

   Solution:IMA = Number of supports = 4Required Force = Weight / IMA = 400 N / 4 = 100 N

3. Inclined Plane Problem:An inclined plane is 10 meters long and has a height of 5 meters. What is the IMA of the inclined plane?

   Solution:IMA = Length of the slope / Height of the incline = 10 m / 5 m = 2

4. Lever with distances:If a lever has an input distance from the fulcrum of 2 m and an output distance of 0.5 m, what is the output force if the input force is 100 N?

   Solution:IMA = Rin / Rout = 2 m / 0.5 m = 4Fout = IMA x Fin = 4 x 100 N = 400 N