In the following figure, a body of mass $m$ is tied at one end of a light string and this string and this string is wrapped around the solid cylinder of mass $M$ and radius $R$. At the moment $t = 0$ the system starts moving. If the friction is negligible, angular velocity at time $t$ would be
In the following figure, a body of mass $m$ is tied at one end of a light string and this string and this string is wrapped around the solid cylinder of mass $M$ and radius $R$. At the moment $t = 0$ the system starts moving. If the friction is negligible, angular velocity at time $t$ would be
- A
$\frac{{mgRt}}{{\left( {M + m} \right)}}$
- B
$\frac{{2Mgt}}{{\left( {M + 2m} \right)}}$
- C
$\frac{{2Mgt}}{{R\,\left( {M - 2m} \right)}}$
- D
$\frac{{2mgt}}{{R\,\left( {M + 2m} \right)}}$
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