The cranks and connecting rods of a four cylinder in-line engine running at 2000 rpm are  60mm and 240mm each respectively. The cylinders are spaced 150 mm apart. If the  cylinders are numbered 1 to 4 in sequence from one end, the cranks appear at intervals of  90º in an end view in the order 1-4-2-3.The reciprocating mass for each cylinder is 15 kg.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.91P: What is the ratio L/R for which the uniform wire figure can be balanced in the position shown?
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The cranks and connecting rods of a four cylinder in-line engine running at 2000 rpm are 
60mm and 240mm each respectively. The cylinders are spaced 150 mm apart. If the 
cylinders are numbered 1 to 4 in sequence from one end, the cranks appear at intervals of 
90º in an end view in the order 1-4-2-3.The reciprocating mass for each cylinder is 15 kg. 
Determine (i) unbalanced primary and secondary forces, (ii) unbalanced primary and 
secondary couples with reference to central plane of the engine

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