If a cylinder is rolling without slipping, C is the centre of zero velocity for a moment and O is the centre(adsbygoogle = window.adsbygoogle || []).push({});

Does the angular rotation about O equal to the angular rotation about C, or is there only one angular rotation when a cylinder is rolling, that is the rotation about the point of contact?

3. The attempt at a solution

This is a question that came to me, not a assignment question or anything, but anyway

I think in the ordinary frame of reference a rolling cylinder only has an angular rotation about the point of contact, not about the centre

Where in a frame of reference where you are following the cylinder, you should see the cylinder rotating about the centre and the surface is moving linearly without sliding.

I know angular rotation is always about an a line, so a single motion can have many angular velocities with respect to many axis's.

Is it possible to evaluate the angular velocity with respect to O in the normal frame of reference when the ground is stationary?

i am not really sure i guess the angular velocity for each point on the shape would vary if you measure it from O since the whole object is kind of translating... and since C has a zero velocity

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# Homework Help: Rolling balls angular rotation

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