Why did an engine of train pull/ the compartments having total weight greater than the weight of its engine.

The coefficient of friction, tempatature, angle of contact surface, etc are same. total contact area of wheels of engine is much lesser than that of compartments.

Answer:
Surly you have pushed object heavier than you before?
The locomotive does not lift the cars, it just pulls them, and on a straight and level surface, the relationship between the required tractive effort and the the weight of the cars is expressed by the coefficient of friction, but *rolling* friction.

On the other hand, the tractive effort of the locomotive is a function of its weight and the coefficient of friction, but in this case, the *sliding*.

Rolling coefficient of friction is a function of the deformation of the wheel, in the case of railroad cars, this values is between 0.001 and 0.0025.

Clean steel on steel, the static coefficient of friction is 0.78, enabling a locomotive to pull up to 300 times its weight under ideal conditions (perfectly horizontal, no curve, no dirt on track, etc.). Real everyday life is never perfect, so 30 to 50 time the weight of the locomotive allows for acceleration that do not take for ever, takes care of slight uphills, dirt on track, and so on.
Yes, you had answered your own question, indeed.

Bearings are used so the load pressured on the engine is less.
It is not the weight, it is the rolling resistance.
The engine wheels are being driven but the wagon wheels are only retarded by the inertia of the wagons
Yes, friction is important for traction, but the power is coming from the engine. And why should the train be lighter than the engine? Why can't it be heavier and still be pulled by the engine?

I am not able to understand the question. Could you be clearer?
I can't decipher your question. Please carefully rephrase it.

Just as a rule of thumb a typical diesel electric commuter rail locomotive weighs about 100 tons. A typical train commuter rail train weighs about 300 tons. Now what were you asking again?

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