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The two masses in the Atwood\'s machine shown in the figure are initially at res

ID: 2058521 • Letter: T

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, m2, falls through a height h and hits the floor, and the small mass, m1, rises through a height h.

http://www.webassign.net/walker/08-20.gif


(a) Find the speed of the masses just before m2 lands. Assume the ropes and pulley have negligible mass and that friction can be ignored. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due to gravity.)



(b) Evaluate your answer to part (a) for the case where h = 1.4 m, m1 = 3.3 kg, and m2 = 4.1 kg.

Explanation / Answer

(m2-m1)g=m2*a
a=(m2-m1)g/m2
v^2 /2h =a
v=(2h(m2-m1)g/m2)=2.314m/s