Physics Class 11 Chapter 7 System of Particles & Rotational Motion | Page 29

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Point Po have opposite velocities, and if condition of no-slipping is there then it must have zero velocity, so Vcom = ω R
o At point P1 both the velocities add up. o
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At any other point, add both the velocities vectorially to get the resultant, which are shown for some of the cases in red color in figure.
The line passing through PO and parallel to w is called the instantaneous axis of rotation.
o The point PO is instantaneously at rest. o
Kinetic Energy of Rolling Motion o
KErolling = KEtranslation + KErotation
Example- A hoop of radius 2 m weighs 100 kg. It rolls along a horizontal floor so that its centre of mass has a speed of 20 cm / s. How much work has to be done to stop it?