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TRANSMIT MOTION AND FORCE THROUGH A MOTOR TO ANOTHER POINT.

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F.d=R.r
We say the lever is in equilibrium when the forces acting on opposite ends of
a lever are equal.

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The mighty mathematics of the lever - Andy Peterson and Zack Patterson

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F=R

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F=R/2

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LEVER CLASS 1

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A pulley is a wheel with a groove that turns on an axis. It is fi xed to a solid surface. There is a rope or a chain inside the groove that allows you to lift objects easily by apply a force (F) against a resistance (R).

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Why Snatch Blocks are AWESOME (How Pulleys Work)  - Smarter Every Day 228

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F=R/2.n ; F=R/2n

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These are sets of wheels with teeth that match each other so that one wheel moves another. The teeth must all have the same shape and size.

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One of the wheels is called the driver, because as it moves, it drives the other wheel which is called the driven.

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They turn in the same direction because the belt, which is fixed to both wheels, transfers the turn to the wheels.

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The relationship between the speeds of the two wheels depends on the relative
size of the wheels, expressed through the following equation:

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Z1 and Z2 are the number of teeth, and N1 and N2, are the speeds.

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These are sets of two wheels with teeth on parallel axes, at a distance from each other.

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A pinion is a wheel with teeth that interlock with a rack, which is a bar with teeth. When the wheel turns the bar moves in a linear direction.

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SOME MECHANISMS TRANSFORM ROTARY MOTION INTO LINEAR MOTION OR VICEVERSA.

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The crank turns, which moves the rod.

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A crank is a bar that turns an axis.  The winch is a cylinder that turns on an axis, to pull an object.
F.d=R.r