n-1-equal-point-masses-each-of-mass-m-are-placed-at-the-vertices-of-a-regular-n-polygon-The-vacant-vertex-has-a-position-vector-a-with-respect-to-the-centre-of-the-polygon-Find-the-position-vect

Question Number 24186 by Tinkutara last updated on 14/Nov/17

(n - 1) equal point masses each of mass

m are placed at the vertices of a regular

n - polygon . The vacant vertex has a

position vector a with respect to the

centre of the polygon . Find the position

vector of centre of mass .

Commented by mrW1 last updated on 14/Nov/17

- \frac{1}{n - 1} a

Commented by Tinkutara last updated on 14/Nov/17

Thank you very much Sir!

Commented by mrW1 last updated on 14/Nov/17

{l e t}^{'} s s a y t h e c e n t e r o f (n - 1) m i s x

f r o m t h e c e n t e r o f p o l y g o n . w e k n o w

i f w e a l s o p u t a m a s s m a t t h e v a c a n t v e r t e x,

t h e n w e h a v e n m a s s m, a n d t h e

c e n t e r o f n m i s t h e c e n t e r o f p o l y g o n .

(n - 1) m g ∣ x ∣= m g ∣ a ∣

\Rightarrow∣ x ∣= \frac{∣ a ∣}{n - 1}

x i s o p p o s i t e t o a

\Rightarrow x = - \frac{1}{n - 1} a

Commented by mrW1 last updated on 14/Nov/17

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