THE VECTOR SUM OF N COPLANAR FORCES ,EACH OF MAGNITUDE F,WHEN EACH FORCE IS MAKING AN ANGLE OF

2pi/N WITH THE PRECEDING ONE IS.

SIR/MADAM,COULD YOU PLEASE EXPLAIN AND SOLVE THIS SUM.

Suppose the first force is along x-axis. Then, the second force makes an angle 2πN with x-axis. The third force makes an angle 2×2πN with the x-axis.Similarly, the fourth force makes an angle 3×2πN with the x-axis and so on.If Rx=x component of the resultant forceRx=F+Fcos2πN+Fcos4πN+Fcos6πN+.....Fcos (N-1)2πN=Fn=0n=N-1cos2πnN=F×0=0Similarly,Ry=Fn=0n=N-1sin2πnN=F×0=0Thus,R=Rx2+Ry2=0

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