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In Which of the Following Cases the Centre of Mass of a Rod is Certainly Not at Its Centre? - Physics

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प्रश्न

In which of the following cases the centre of mass of a rod is certainly not at its centre? 
(a) the density continuously increases from left to right
(b) the density continuously decreases from left to right
(c) the density decreases from left to right upto the centre and then increases
(d) the density increases from left to right upto the centre and then decreases.

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उत्तर

(a) the density continuously increases from left to right
(b) the density continuously decreases from left to right
As the density continuously increases/decreases from left to right, there will be difference in the masses of rod that lie on either sides of the centre of mass. Thus, the centre of mass of a rod in such a case will certainly not be at its centre.

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अध्याय 9: Centre of Mass, Linear Momentum, Collision - MCQ [पृष्ठ १५८]

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एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
अध्याय 9 Centre of Mass, Linear Momentum, Collision
MCQ | Q 3 | पृष्ठ १५८
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