Question

A roller is made by joining together two corners at their vertices O. It is kept on two rails AB and CD which are placed a symmetrically (see the figure), with its axis perpendicular to CD and its centre 0 at the centre of line joining AB and CD (see the
figure). It is given a light path, 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
a. turn left
b. turn right
c. go straight
d. turn left and right alternatively​

Answer 1

Answer:

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

So, for left v=ωr′<ωr (for right point)

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