question_answer

A roller is made by joining together two cones at their vertices O. It is kept on two rails AB and CD which are placed asymmetrically (see figure), with its axis perpendicular to CD and its centre O at the centre of line joining AB and CD (see figure). It is given a light push so that it starts rolling with its centre O moving parallel to CD in the direction shown. As it moves, the roller will tend to :- [JEE Main Solved Paper-2016 ]

A) turn left and right alternately.

B) turen left.

C) turn right.                           

D)  go straight.

Correct Answer: B

Solution :

                Say the distance of central line from instantaneous axis of rotation is r. Then r from the point on left becomes lesser than that for right. So \[{{\text{V}}_{\text{left}}}\]point\[=\omega r'<\omega r={{V}_{righ}}t\]point So the roller will turn to left.