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

ID: 2093379 • 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, m2, rises through a height h

(Figure 1)

a.) Find the speed of the masses just before m2 lands, giving your answer in terms of m1,m2 ,g and h . Assume the ropes and pulley have negligible mass and that friction can be ignored.

Express your answer in terms of the variables ,m1 ,m2 ,h and appropriate constants.

vf=____

b.)Evaluate your answer to part A for the case h= 1.0m , m1= 3.8 kg, and m2= 4.6 kg

Express your answer using two significant figures.

Explanation / Answer

A) sum of forces = m2g-m1g

a =[1-(m1/m2)]g

v=sqrt{2gh[1-(m1/m2)]}

B) v= 1.84m/s