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Units and Measurement
Question
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Give the location of the centre of mass of a

(i) sphere,

(ii) cylinder,

(iii) ring, and

(iv) cube, each of uniform mass density.

Does the centre of mass of a body necessarily lie inside the body?
 

Answer

In all the four cases, as the mass density is uniform, the centre of mass is located at their respective geometrical centres.

No, it is not necessary that the centre of mass of a body should lie on the body.
For example, in the case of a circular ring, centre of mass is at the centre of the ring, where there is no mass. 

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