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if a rigid ob...

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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 centre of mass? if so which ones

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Q. If all the points on a rigid body are performing circular motion about a common axis of rotation then one can deduce that the body is undergoing pure rotational motion.

Q. Centre of mass is a special point on the body where we can forget the velocities of all other points on the body and consider only its velocity as the velocity for the body. So for a body undergoing rotational motion we can find the velocity of its centre of mass and forget all other velocities and treat it just like a translatory motion i.e, circular motion?

Question 88
State whether the statement is True or False.
Rotation turns an object about a fixed point which is known as the centre of rotation.

Q. A point object is placed on the principle axis of a converging lens and its image

(I_{1})

is formed on its principle axis. If the lens is rotated by an small angle

θ

about its optical centre such that its principle axis also rotates by the same amount then the image

(I_{2})

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Q. Assertion :STATEMENT-1 : If two different axes are at same distance from centre of mass of a rigid body, then moment of inertia of the given rigid body about both axis will always be same. Reason: STATEMENT-2 : From parallel axis theorem

I = I_{c m} + m d^{2},

where all terms have usual meaning.

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