The two masses in the Atwood's machine shown in the figure are initially at rest at the same height. After they are released, the large mass, $m_{2}$ , falls through a height $h$ and hits the floor, and the small mass, $m_{2}$ , rises through a height $h$ . Find the speed of the masses just before $m_{2}$ lands, giving your answer in terms of $m_{1}, m_{2}, g$ , and $h$ . Assume the ropes and pulley have negligible mass and that friction can be ignored. $h = 1.5 m, m_{1} = 3.0 kg$ , and $m_{2} = 5.0 kg$

Question

The two masses in the Atwood's machine shown in the figure are initially at rest at the same height. After they are released, the large mass,

m_{2}

, falls through a height

h

and hits the floor, and the small mass,

m_{2}

, rises through a height

h

. Find the speed of the masses just before

m_{2}

lands, giving your answer in terms of

m_{1}, m_{2}, g

, and

h

. Assume the ropes and pulley have negligible mass and that friction can be ignored.

h = 1.5 m, m_{1} = 3.0 kg

, and

m_{2} = 5.0 kg

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