🍾🍻MECHANISMS 🍻🍾

balanced lever

F· d= R · r

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fixed pulley

F=R

mobveable pulley

F=R/2

friction drtives

N1·D1 = N2·D2 -> D1/D2=N2/N1

Gear mechanisms and cogwheels

N1·Z1=N2·Z2->Z1/Z2=N2/N1

N, and N, are the velocities of the corresponding wheels
Z , and Z, are the numbers of teeth.

worm gear

Nwheel=(Nscrew·Zgrooves)/Zwheel

Gear mechanisms with a chain

N1· Z1 = N2· Z2->Z1/Z2=N2/N1

Gear train

N4/N1=(Z1·Z3)/(Z2·Z4)

Pulley trains with belts

N4/N1=(D1·D3)/(D2·D4)

Iv i and N, are the respective velocities of the drive and driven
pulleys.
De Dn Di and D, are the diameters of each wheel.
Uses: machine tools and dnlls

Rack and pinion system

L= P·Z·N

·P is the distance between two consecutive teeth in millimetres.
• Z is the number of teeth in the pinion.
• N is the number of rotations per minute of the pinion

Winch and crank handle

F·d=R·r->F=R·(R·r/d)

• F is the force applied and R, the resistance.
• r is the radius of the winch and d, the length of the crank handle.

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