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 ?
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 ?
Geometric centre; No
The centre of mass $(C.M.)$ is a point where the mass of a body is supposed to be concentrated. For the given geometric shapes having a uniform mass density, the $C.M.$ lies at their respective geometric centres.
The centre of mass of a body need not necessarily lie within it. For example, the $C.M.$ of bodies such as a ring, a hollow sphere, etc., lies outside the body.
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