Question

A ring of 0.3 kg and radius 0.1and asolid cylinder of mass0.4kg and same radius are given same kinetic energy and released simultaneously on a flat surface such that they begin to roll as soon as they are released towards a wall which is ame distance from ring and cylinder if the coefficient of friction is negligible which of the two will reach the wall first

Answer 1

Moment of inertia of Ring=

mr^2

=0.3 x 0.1 x 0.1

= 0.003

Moment of inertia of cylinder =

1/2 x m x r^2

= 0.5 x 0.4 x 0.1 x 0.1

= 0.002

Hence because of the less moment of inertia the cylinder is easy to rotate and will reach the wall first.