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Two disks $A$ and $B$ with identical mass $(m)$ and radius $(R)$ are initially at rest. They roll down from the top of identical inclined planes without slipping. Disk $A$ has all of its mass concentrated at the rim, while Disk $B$ has its mass uniformly distributed. At the bottom of the plane, the ratio of velocity of the centre of disk $A$ to the velocity of the centre of disk $B$ is

  1. $\sqrt{\dfrac{3}{4}} \\$
  2. $\sqrt{\dfrac{3}{2}} \\$
  3. $1 \\$
  4. $\sqrt{2}$
in Theory of Machines 24.6k points
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