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Gravitational Potential Energy

two balls of ...

Question

two balls of masses 3m and m are seperated by distance l.find the position of centre of mass

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Solution

$L e t c e n t r e o f m a s s i s a t t h e d i s \tan c e x f r o m t h e h e a v i e r m a s s 3 m, t h e n p o s i t i o n o f t h e c e n t r e o f m a s s i s g i v e n b y : x = \frac{3 m \times 0 + m \times l}{3 m + m} x = \frac{l}{4} t h e r e f o r e c e n t r e o f m a s s l i e s a t a d i s \tan c e l / 4 f r o m t h e m a s s 3 m .$

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