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A small disc of radius  is cut from a disc of radius . If the distance between their centres is , what is the shift in the centre of mass of the disc in cm is



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A small disc of radius  is cut from a disc of radius . If the distance between their centres is , what is the shift in the centre of mass of the disc in cm is

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Answer Key / Explanation : (0.4) -

The situation can be shown as: Let radius of complete disc is  and that of small disc is , also let centre of mass now shifts to  at a distance  from original centre

The position of new centre of mass is given by

Here,

Hence,

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