A roller is made by joining together twocones at their vertices O. It

1.	A roller is made by joining together twocones at their vertices O. It is kept on tworails AB and CD which are placedasymmetrically (see figure), with its axisperpendicular to CD and its centre O atthe centre of line joining AB and CD (seefigure). It is given a light push so that itstarts rolling with its centre O movingparallel to CD in the direction shown. Asit moves, the roller will tend to:
Answer» If we take ‘r’ as the distance ofIAORIAORfrom the axis of rotation, then ‘r’ decreases on left side as the object moves forward So, for leftv=ωr′<ωrv=ωr′<ωr(for right point) So, the roller will turn to the left as it moves forward.

A roller is made by joining together twocones at their vertices O. It is kept on tworails AB and CD which are placedasymmetrically (see figure), with its axisperpendicular to CD and its centre O atthe centre of line joining AB and CD (seefigure). It is given a light push so that itstarts rolling with its centre O movingparallel to CD in the direction shown. Asit moves, the roller will tend to:

Answer»

If we take ‘r’ as the distance ofIAORIAORfrom the axis of rotation, then ‘r’ decreases on left side as the object moves forward

So, for leftv=ωr′<ωrv=ωr′<ωr(for right point)

So, the roller will turn to the left as it moves forward.

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