A roller is made by joining together two cones at their vertices \(...
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A roller is made by joining together two cones at their vertices \( \mathrm{O} \). It is kept on two rails \( \mathrm{AB} \) and \( C D \) which are placed asymmetrically (see figure), with its axis perpendicular to \( \mathrm{CD} \) and its centre \( \mathrm{O} \) at the centre of line joining \( \mathrm{AB} \) and \( \mathrm{CD} \) (see figure). It is given a light push so that it starts rolling with its centre \( \mathrm{O} \) moving parallel to \( \mathrm{CD} \) in the direction shown. As it moves, the roller will tend to :-
\( \mathrm{P} \)
(1) turn left and right alternately.
(2) turen left.
(3) turn right.
(4) go straight.
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