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A bowl with a semi spherical base is designed such that its ce
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A bowl with a semi spherical base is designed such that its centre of gravity is located at the centre of curvature of the spherical part. Explain giving reasons, to which state of equilibrium the bowl belongs. If the bowl is filled with water upto the centre of gravity, explain how the equilibrium state would be affected/unaffected.

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A bowl with a semi spherical base is designed such that its centre of gravity is located at the centre of curvature of the spherical part. Explain giving reasons, to which state of equilibrium the bowl belongs. If the bowl is filled with water upto the centre of gravity, explain how the equilibrium state would be affected/unaffected.
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Initially, the bowl lies on its hemispherical base, hence its equilibrium is independent of displacements from this position. So the bowl was initially in neutral equilibrium.
Now the bowl has been filled up with water up to its centre of gravity. Due to this, the weight of the bowl increases and its centre of gravity shifts towards its base.
Hence, if we displace the bowl slightly, it will return to its original position. So the bowl now has stable equilibrium.
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Question Text
A bowl with a semi spherical base is designed such that its centre of gravity is located at the centre of curvature of the spherical part. Explain giving reasons, to which state of equilibrium the bowl belongs. If the bowl is filled with water upto the centre of gravity, explain how the equilibrium state would be affected/unaffected.
TopicGravitation
SubjectScience
ClassClass 9
Answer TypeText solution:1
Upvotes119