Problem 6 balancing of multi cylinder inline engine, balancing of reciprocating masses

Solve Problem on balancing of multicylinder inline engine.

A four cylinder inline engine has two outer cranks placed at 120° apart and their individual reciprocating masses are 200 kg. The distance between cranks are 200 mm, 600 mm and 500 mm respectively. The crank radius is 300 mm and length of connecting rod is 1200 mm. The crank rotates at 340 rpm. If engine is to be in complete primary balance, find the reciprocating masses and the relative angular positions for each of inner cranks. Also find magnitude of secondary unbalance force.

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