Q$.22$ A four stroke five cylinder in$-$line Engine is required to be examined for static and dynamic balance. It has a firing order of $1-4-5-3-2-1.$ The distance between centre lines is $150$ mm and the reciprocating mass for each cylinder is $1\mathrm{.}5$ kg $,$ the engine stroke length is $100$ mm and the connecting rod length is $175$ mm $.$ The engine runs at $600$ rpm $.$ Examine the engine for balance and determine primary and secondary unbalance couples. Determine the angle when maximum value of primary couple would occur.

Solve this question by Analytical method only