(Solved): An Atwood's machine consists of two masses, m1=4kg and m2=6kg which are connected by a ma ...

An Atwood's machine consists of two masses, $m_1=4\mathrm{kg}$ and $m_2=6\mathrm{kg}$ which are connected by a massless cord that passes over a pulley. The pulley has a moment of inertia $\mathrm{I}=4.5\times 10^{?3}{\mathrm{kg}}^{?}\mathrm{m}?2$ and radius $\mathrm{R}=5\mathrm{cm}$. The cord does not slip on the pulley. Find the acceleration of the mass $m_1$. (in $\mathrm{m}/{\mathrm{s}}^{?}2$ ) B: 1.020 C: 1.152 D: 1.302 F: 1.663 G: 1.879 H: 2.123