Two cylinders Aando m sine but different masses of Am f , Initially at restare rolling down an inclined plan. Which cylinder will reach the bottorat.

Two cylinders Aando m sine but different masses of Am f , Initially at

1.	Two cylinders Aando m sine but different masses of Am f , Initially at restare rolling down an inclined plan. Which cylinder will reach the bottorat.
Answer» Solution :The initial mechanical energy of both the linders is in the FORM of potential energy and hence is greater for cylinder B as mas ofB is greater than MASS of A.On REACHING the bottom of the inclined plan, their potential energies will be converted to translational kinetic energy, `K_(1)=(1)/(2)` and rotational kinetic erg, `K_(r)-(1)/(2)Iomega^(2)`both of which are al proprtional to mass . As long mechanical energy is conserved, both of thenboth of the cylinders will arrive the bottom with some velocity, which is independent of man and hence REACH the bottom at same time