Automobile Engineering in ME
The purpose of a balancer shaft is to

Increase inertia force of the rotating crankshaft
Balance the timing in the movement of the two groups of pistons
Reduce vibrations caused by the crankshaft rotation
Adjusts the timing of the intake and exhaust valve openings

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Automobile Engineering in ME
The correct flow of power through the drive train is

Engine clutch, counter shaft, main shaft, final driven gear, drive shafts, wheels
Engine drive shafts, clutch, main shaft, counter shaft, final driven gear, wheels
Engine main shaft, counter shaft, clutch, final driven gear, drive shafts, wheels
Engine clutch, main shaft, counter shaft, final driven gear, drive shafts, wheels

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