In this
part we have taken I.w ...In this question
centre of mass remains there at C . what if centre of mass will
change then how the product I.w will change ... About which
point I and Omega to be calculated ...is it about centre of mass
or any point about which we want to apply angular momentum
conservation because we can choose any point in space for angular
momentum conservation
Here the cm even if it is not at C will be at rest .you can always calculate mi about cm and w does not depend on point.so you can do it in the same way by conserving angular momentum about cm in this case where it is at rest both before and after collision
Here the initial linear momentum was zero so the velocity after
the collision of the centre of mass of the rod becomes
zero.
but if we consider that initial and linear momentum is not zero then the velocity of centre of mass after the collision will not be zero then how the product Iw will change
but if we consider that initial and linear momentum is not zero then the velocity of centre of mass after the collision will not be zero then how the product Iw will change
in that case it wont be case of pure rotation and angular
momentum will depend on the point about which you conserve
angular momentum