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Fixity is always needed for rotational motion?

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Yes for pure rotation, the distance between two particles will always remain constant.
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No, not always there are certain conditions in which it will be.
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No, it's not always needed.
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No, fixity has no meaning for rotational motion.
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No. Not required. It is independent of rotational motion.
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Yes, it is very important.
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Yes, for example, wind fan generates electricity from fixity. So fixity is more needed for rotational motion.
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Yes, it's needed.
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Yes
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Suppose this is pure rotation then yes. But if it is not, then it is not needed.
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