Question 7.1:
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?
Solution:
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.Geometric centre; No
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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