# GATE Mechanical 2014 Set 3 | Question: 34

An annular disc has a mass $m$, inner radius $R$ and outer radius $2R$. The disc rolls on a flat surface without slipping. If the velocity of the center of mass is $v$, the kinetic energy of the disc is

1. $\dfrac{9}{16}mv^2 \\$
2. $\dfrac{11}{16}mv^2 \\$
3. $\dfrac{13}{16}mv^2 \\$
4. $\dfrac{15}{16}mv^2$

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