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Question Number 31628 by Tinkutara last updated on 11/Mar/18
Systems of particles doubt
$${Systems}\:{of}\:{particles}\:{doubt} \\ $$
Commented by Tinkutara last updated on 11/Mar/18
If a rigid object has only rotational motion about a fixed axis are there any points within the object that always have the same velocity as the centre of mass? If so which ones?
Commented by mrW2 last updated on 11/Mar/18
all points which have the same distance  to the rotation axis as the center of  mass.
$${all}\:{points}\:{which}\:{have}\:{the}\:{same}\:{distance} \\ $$$${to}\:{the}\:{rotation}\:{axis}\:{as}\:{the}\:{center}\:{of} \\ $$$${mass}. \\ $$
Commented by Tinkutara last updated on 11/Mar/18
Can the points also be on the axis of rotation?
Commented by mrW2 last updated on 11/Mar/18
if the rotation axis goes through the  centre of mass, then all points on this  axis have the same velocity as the com:  zero.
$${if}\:{the}\:{rotation}\:{axis}\:{goes}\:{through}\:{the} \\ $$$${centre}\:{of}\:{mass},\:{then}\:{all}\:{points}\:{on}\:{this} \\ $$$${axis}\:{have}\:{the}\:{same}\:{velocity}\:{as}\:{the}\:{com}: \\ $$$${zero}. \\ $$
Commented by Tinkutara last updated on 11/Mar/18
Thank you very much Sir! I got the answer. ��������

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