In which of the following cases, the centre of mass of a rod is certainly not at its centre?

a. The density increases from left to right up to the centre and then decrease

b. The density decreases from left to right up to the centre and then increase

c. The density continuously increases from left to right

d. The density continuously decreases from left to right

a & b are correct

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b & c are correct

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c & d are correct

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a & d are correct

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Solution

The correct option is D. c & d are correct

In case of non-uniform mass distribution, the centre of mass lies at the region of higher mass. If the density continuously increases/decreases from left to right or from right to left, the centre of mass will not lie at the centre of the given rod.

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The correct option is D. c & d are correctIn case of non-uniform mass distribution, the centre of mass lies at the region of higher mass. If the density continuously increases/decreases from left to right or from right to left, the centre of mass will not lie at the centre of the given rod.

The correct option is D. c & d are correct

In case of non-uniform mass distribution, the centre of mass lies at the region of higher mass. If the density continuously increases/decreases from left to right or from right to left, the centre of mass will not lie at the centre of the given rod.