rolling motion
qs - AB is a non uniform plank of length L = 4R with
its centre of mass at C such that AC = R. It is
placed on a step with its one end A supported by a
cylinder of radius R as shown in figure. The centre
of mass of the plank is just outside the edge of the
step. The cylinder is slowly rolled on the lower
step such that there is no slipping at any of its
contacts. Calculate the distance through which
the centre of the cylinder moves before the plank
loses contact with the horizontal surface of the
upper step.
my ans - 3R/2
actual ans - R
its centre of mass at C such that AC = R. It is
placed on a step with its one end A supported by a
cylinder of radius R as shown in figure. The centre
of mass of the plank is just outside the edge of the
step. The cylinder is slowly rolled on the lower
step such that there is no slipping at any of its
contacts. Calculate the distance through which
the centre of the cylinder moves before the plank
loses contact with the horizontal surface of the
upper step.
my ans - 3R/2
actual ans - R
