A regular polygon of n-sides with n vertices. On all but one vertex (n

1.	A regular polygon of n-sides with n vertices. On all but one vertex (n - 1) point masses each of mass m are placed. The vacant vertex has position vector 'veca' w.r.t. the centre of polygen. What is the position vector of the centre of mass of polygon ?
Answer» `(1)/(N-1)a` `(1)/(n).a` `(1-a)/(n)` `(n-1)/(1-a)XXA` Solution :Let the centre of MASS be at distance .d.. Then C-M can be found as follows : `((n-1)m.d+ma)/(n.m)=0` `therefore (n-1)d=-a` or `d=-(1)/(n-1)a` (neglecting - ve sign which INDICATES only the direction of position vector)

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A regular polygon of n-sides with n vertices. On all but one vertex (n - 1) point masses each of mass m are placed. The vacant vertex has position vector 'veca' w.r.t. the centre of polygen. What is the position vector of the centre of mass of polygon ?

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