A twin cylinder V$-$engine has cylinder centre lines at

an angle of $90$ and the connecting rods drives on to a single crank. Stroke is $12$

cm and the length of the connecting rods is $24$ cm $.$ Crank pin and crank webs

are equivalent to $1\mathrm{.}2$ kg at crank radius and piston mass is $1\mathrm{.}0$ kg $.$ The mass of

each connecting rod is $1\mathrm{.}5$ kg and the centre of gravity is $8$ cm from the crank

pin centre. Show that the effect of the revolving mass and the balance effect of

the reciprocating mass may be balanced by a revolving balance mass. Also, find

its magnitude and position if the distance of the centre of gravity from the crank

shaft centre line is $8$ cm $.$ Finally, find the nature and magnitude of the resultant

secondary force when the crankshaft rotates at $1600$ r$.$p$.$m$.$